Metal halide lamps - Performance specification

IEC 61167:2018 specifies the performance requirements for metal halide lamps for general lighting purposes.
This fourth edition cancels and replaces the third edition published in 2015. This edition constitutes a technical revision.
This edition includes the following significant technical changes with respect to the previous edition.
a) A set of new lamp data sheets has been introduced for lamp types designed for replacing high pressure sodium lamps.
b) A set of new lamp data sheets has been introduced for 4 200 K versions of 3 000 K lamp types already in the standard.
c) A set of new lamp data sheets has been introduced for new lamp types where high frequency ignition data is important.
d) Annex G has been revised to incorporate high frequency ignition. As a consequence of this change, all data sheets in the standard have been revised to a new format.
e) A new informative Annex K has been introduced, giving recommended methods of making lamp temperature measurements.
The contents of the corrigendum of April 2019 have been included in this copy.

Lampes aux halogénures métalliques - Spécifications de performances

L'IEC 61167:2018 spécifie les exigences de performances applicables aux lampes aux halogénures métalliques pour les applications d'éclairage générales.
Cette quatrième édition annule et remplace la troisième édition parue en 2015. Cette édition constitue une révision technique.
Cette édition inclut les modifications techniques majeures suivantes par rapport à l'édition précédente.
a) Un ensemble de nouvelles fiches techniques sur les lampes a été introduit pour les types de lampes conçus pour remplacer les lampes à vapeur de sodium à haute pression.
b) Un ensemble de nouvelles fiches techniques sur les lampes a été introduit pour les versions 4 200 K des types de lampes à 3 000 K déjà présents dans la norme.
c) Un ensemble de nouvelles fiches techniques sur les lampes a été introduit pour les nouveaux types de lampes pour lesquels les données d'amorçage à haute fréquence sont importantes.
d) L'Annexe G a été révisée pour intégrer l'amorçage à haute fréquence. A la suite de cette modification, toutes les fiches techniques de la norme ont été révisées et ont reçu un nouveau format.
e) Une nouvelle annexe informative, l'Annexe K, a été introduite pour indiquer des méthodes recommandées de mesurage de la température des lampes.
Le contenu du corrigendum d'avril 2019 a été pris en considération dans cet exemplaire.

General Information

Status
Published
Publication Date
22-Oct-2018
Drafting Committee
Current Stage
PPUB - Publication issued
Start Date
27-Apr-2018
Completion Date
16-Mar-2018
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IEC 61167 ®
Edition 4.1 2018-10
CONSOLIDATED VERSION
INTERNATIONAL
STANDARD
NORME
INTERNATIONALE
colour
inside
Metal halide lamps – Performance specification

Lampes aux halogénures métalliques – Spécifications de performances

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IEC 61167 ®
Edition 4.1 2018-10
CONSOLIDATED VERSION
INTERNATIONAL
STANDARD
NORME
INTERNATIONALE
colour
inside
Metal halide lamps – Performance specification

Lampes aux halogénures métalliques – Spécifications de performances

INTERNATIONAL
ELECTROTECHNICAL
COMMISSION
COMMISSION
ELECTROTECHNIQUE
INTERNATIONALE
ICS 29.140.30 ISBN 978-2-8322-6155-2

IEC 61167 ®
Edition 4.1 2018-10
CONSOLIDATED VERSION
REDLINE VERSION
VERSION REDLINE
colour
inside
Metal halide lamps – Performance specification

Lampes aux halogénures métalliques – Spécifications de performances

– 2 – IEC 61167:2018+AMD1:2018
© IEC 2018
CONTENTS
FOREWORD . 6
INTRODUCTION . 8
1 Scope . 10
2 Normative references . 10
3 Terms and definitions . 11
4 Lamp requirements . 13
4.1 General . 13
4.2 Marking . 13
4.2.1 Colour appearance . 13
4.2.2 Lamps for operation on high pressure sodium controlgear . 13
4.3 Dimensions . 14
4.4 Caps . 14
4.5 Starting and warm-up characteristics . 14
4.5.1 Lamps that may operate on electromagnetic ballasts . 14
4.5.2 Lamps suitable for low frequency square wave ballasts only . 14
4.6 Electrical characteristics . 14
4.7 Photometric characteristics . 14
4.8 Colour characteristics . 14
4.8.1 Lamps with non-standardised chromaticity co-ordinates . 14
4.8.2 Lamps with standardised chromaticity co-ordinates . 15
4.8.3 Colour rendering index . 15
4.8.4 Requirements and test conditions . 15
4.9 Lumen maintenance and life . 15
5 Information for ballast, ignitor and luminaire design . 15
6 Data sheets . 15
6.1 General principles of numbering sheets . 15
6.2 Lists of data sheets . 15
6.2.1 List of diagrammatic lamp data sheets . 15
6.2.2 List of lamp data sheets . 30
6.3 List of maximum lamp outline sheets (construction according to IEC 61126) . 361
Annex A (normative) Method of measuring lamp starting and warm-up characteristics . 364
A.1 General . 364
A.2 Measurements . 364
Annex B (normative) Method of measuring electrical and photometrical characteristics
(lamps for operation on 50 Hz or 60 Hz supply frequencies) . 366
B.1 General . 366
B.2 Particular requirements for double-capped lamps . 366
B.3 Colour characteristics . 367
B.4 Supply . 367
B.5 Instruments . 367
B.6 Measurement . 367
Annex C (normative) Method of test for lumen maintenance and life . 370
C.1 General . 370
C.2 Lamps for operation on 50 Hz or 60 Hz supply frequencies . 370
C.3 Lamps for operation on low frequency square wave . 370

© IEC 2018
Annex D (informative) Information for luminaire design . 371
D.1 Maximum lamp outlines . 371
D.2 Replacement of lamps . 371
Annex E (normative) Method of measuring electrical and photometrical characteristics
on low frequency square wave reference ballast . 372
E.1 General . 372
E.2 Characteristics . 372
E.3 Test procedure . 372
E.3.1 General . 372
E.3.2 Start-up . 373
E.3.3 Steady state . 373
Annex F (normative) Spectral analysis of power ripple: calculation procedure for
amplitude spectrum ratio and guidance . 374
F.1 General . 374
F.2 Mathematical background . 374
F.2.1 General . 374
F.2.2 Description of the algorithm . 374
F.3 Measurement procedure . 375
F.4 Test signal . 375
F.4.1 General . 375
F.4.2 Description of the test signal. 375
F.4.3 Outcome of the test signal . 376
Annex G (informative) Low frequency square wave operation . 377
G.1 General . 377
G.2 Operation phases . 377
G.3 Information relevant for square wave controlgear design . 377
G.3.1 Breakdown . 377
G.3.2 Take-over . 380
G.3.3 Run-up . 380
G.3.4 Steady state normal operation . 381
G.3.5 Steady state extended operation . 383
Annex H (informative) Information for ballast design . 385
H.1 General . 385
H.2 Explanation of the ignition schemes for pulse breakdown . 385
Annex I (informative) Temperature limits for luminaire design . 387
Annex J (informative) ILCOS codes . 389
Annex K (informative) Method of measuring the bulb, pinch, reflector and base
temperatures of metal halide lamps for luminaire design . 392
K.1 General . 392
K.2 Measurement conditions . 392
K.3 Choice and attachment of thermocouples for bulb, pinch, reflector and base
temperature measurements . 393
K.3.1 General . 393
K.3.2 Thermocouple attachment by mechanical clamping . 393
K.3.3 Thermocouple attachment by adhesive . 393
K.4 Thermocouple fixing point locations and lamp burning positions by metal
halide lamp types . 394
Bibliography . 402

– 4 – IEC 61167:2018+AMD1:2018
© IEC 2018
Figure A.1 – Circuit diagram for measurement of lamp starting and warm-up
characteristics . 365
Figure B.1 – Circuit diagram for measurement of lamp characteristics . 368
Figure B.2 – Luminaire simulator for use with double-capped lamps . 369
Figure E.1 – Circuit for lamp measurement under reference conditions . 373
Figure G.1 – Typical selection from a high frequency ignition sequence . 379
Figure G.2 – Measurement of PCR during run-up and steady state . 383
Figure G.3 – Example of a measurement circuit of lamp potential against earth . 384
Figure G.4 – Commutation time, deviating waveform . 384
Figure G.5 – HF ripple and fast Fourier transformation (power curve) . 384
Figure H.1 – Example 1 for ignition scheme according to option (1) (see Annex G and
lamp data sheets) . 385
Figure H.2 – Example 2 for ignition scheme according to option (1) (see Annex G and
lamp data sheets) . 385
Figure H.3 – Example for ignition scheme according to option (2) (see Annex G and
lamp data sheets) . 386
Figure I.1 – Principal ways of heat transport in a lamp . 387
Figure K.1 – Schematic view of thermocouple attachment using mechanical clamping . 394
Figure K.2 – Schematic view of thermocouple attachment using adhesive (cement) . 395
Figure K.3 – Burning position and thermocouple junction fixing points for temperature
readings –G8.5 cap . 395
Figure K.4 – Burning position and thermocouple junction fixing points for temperature
readings – G12 cap . 396
Figure K.5 – Burning position and thermocouple junction fixing points for temperature
readings – E27/E40 cap, tubular bulb . 397
Figure K.6 – Burning position and thermocouple junction fixing points for temperature
readings – E27/E40 cap, elliptical bulb . 398
Figure K.7 – Burning position and thermocouple junction fixing points for temperature
readings –E27 cap, PAR reflector, . 399
Figure K.8 – Burning position and thermocouple junction fixing points for temperature
readings – GX8.5 cap . 400
Figure K.9 – Burning position and thermocouple junction fixing points for temperature
readings – RX7s and RX7s-24 cap . 401
Figure K.10 – Burning position and thermocouple junction fixing points for temperature
readings – Fc2 cap . 401

Table 1 – List of diagrammatic lamp data sheets . 16
Table 2 – List of lamp data sheets . 30
Table 3 – List of maximum lamp outline sheets . 361
Table B.1 – Correlated colour temperature and chromaticity co-ordinates x and y . 367
Table E.1 – Characteristics of the reference ballast . 372
Table F.1 – Settings of the analysing oscilloscope . 375
Table G.1 – Requirements for pulse breakdown . 378
Table G.2 – Requirements for high frequency breakdown . 380
Table G.3 – Requirements for take-over . 380
Table G.4 – Requirements for run-up . 381
Table G.5 – Requirements for steady state normal operation . 382

© IEC 2018
Table G.6 – Requirements for extended operation . 383
Table J.1 – Lamp coding . 389

– 6 – IEC 61167:2018+AMD1:2018
© IEC 2018
INTERNATIONAL ELECTROTECHNICAL COMMISSION
____________
METAL HALIDE LAMPS – PERFORMANCE SPECIFICATION
FOREWORD
1) The International Electrotechnical Commission (IEC) is a worldwide organization for standardization comprising
all national electrotechnical committees (IEC National Committees). The object of IEC is to promote
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indispensable for the correct application of this publication.
9) Attention is drawn to the possibility that some of the elements of this IEC Publication may be the subject of
patent rights. IEC shall not be held responsible for identifying any or all such patent rights.
This consolidated version of the official IEC Standard and its amendment has been prepared for
user convenience.
IEC 61167 edition 4.1 contains the fourth edition (2018-04) [documents 34A/2051/FDIS and
34A/2058/RVD] and its corrigendum (2019-04), and its amendment 1 (2018-10) [documents
34A/2066/CDV and 34A/2103/RVC].
In this Redline version, a vertical line in the margin shows where the technical content is
modified by amendment 1. Additions are in green text, deletions are in red text. A separate Final
version with all changes accepted is available in this publication.

© IEC 2018
International Standard IEC 61167 has been prepared by subcommittee 34A: Lamps, of IEC
technical committee 34: Lamps and related equipment.
This edition includes the following significant technical changes with respect to the previous
edition.
a) A set of new lamp data sheets has been introduced for lamp types designed for replacing
high pressure sodium lamps.
b) A set of new lamp data sheets has been introduced for 4200 K versions of 3000 K lamp
types already in the standard.
c) A set of new lamp data sheets has been introduced for new lamp types where high
frequency ignition data is important.
d) Annex G has been revised to incorporate high frequency ignition. As a consequence of
this change, all data sheets in the standard have been revised to a new format.
e) A new informative Annex K has been introduced, giving recommended methods of making
lamp temperature measurements.
This document has been drafted in accordance with the ISO/IEC Directives, Part 2.
The committee has decided that the contents of this document and its amendment will remain
unchanged until the stability date indicated on the IEC website under "http://webstore.iec.ch"
in the data related to the specific document. At this date, the document will be
• reconfirmed,
• withdrawn,
• replaced by a revised edition, or
• amended.
IMPORTANT – The 'colour inside' logo on the cover page of this publication indicates
that it contains colours which are considered to be useful for the correct
understanding of its contents. Users should therefore print this document using a
colour printer.
– 8 – IEC 61167:2018+AMD1:2018
© IEC 2018
INTRODUCTION
A big step forward when standardising metal halide lamps and their operation was made with
the second edition which was published in 2011. Meanwhile, agreements were reached for the
introduction of new lamp types and in aspects of operation which led to the third edition.
Major changes in the second edition were as follows. Since IEC 62035 was published in 1999,
the related lamp specific performance standards such as IEC 61167 needed to be reviewed in
an editorial action, splitting performance and safety requirements, but also to include all items
in abeyance, stored for this occasion. The separation had already been carried out with other
HID lamps. So, in some instances, the “pilot” text of IEC 60188 was used. Moreover, the
measurement part was introduced with the assistance of IEC 60188 and IEC 60081.
It may also be noted that the colour coordinates for CCT 3 000 K and 4 200 K were adjusted
to a point two units below Planck in order to take account of the life time shift to higher y-
values.
Apart from these basic changes which had been needed for a long time, the new technique of
low frequency square wave (LFSW) operation was implemented. This led to additional pages
to the existing lamp data sheets and several annexes describing and specifying the
requirements. Further, detailed requirements and measurement methods for the ignition
(break down/take-over/run-up) were introduced. Intense discussions took place on
measurement and specification of the peak-current ratio during ignition and steady state.
Workshops were held in order to come to a broad worldwide acceptance of the concepts. The
workshops were open to experts from the lamp and control gear side in order to accommodate
the interface between control gear and lamp to these requirements.
Further lamp types which were considered to have market relevance and needing normative
support were also added.
Major changes in the third edition were as follows. Compared to the second edition, a set of
new lamp data sheets (20 W, 35 W, 50 W, 100 W) was introduced. Reference to ILCOS
(International lamp coding system) was removed from the lamp data sheets and located in a
new annex. Information on outer bulb temperature (and in some cases also on pin
temperature and temperature adjacent to cap) was replaced with an explanation on
differences in manufacturers’ construction; this explanation was given in detail in a new
annex.
Major changes of this fourth edition are as follows. A total of 28 new data sheets have been
introduced to specify lamp types designed for replacing high pressure sodium lamps, 4 200 K
versions of 3 000 K lamp types already in the standard and lamp types where high frequency
ignition is important. Annex G has been revised to incorporate high frequency ignition. As a
consequence of this change, all data sheets in the standard have been revised to a new
format. A new informative Annex K has been introduced, giving recommended methods of
making lamp temperature measurements.
The International Electrotechnical Commission (IEC) draws attention to the fact that it is
claimed that compliance with this document may involve the use of patents concerning the
lamp given in standard sheets 1035E, 1035F, 1070C and 1070D.
IEC takes no position concerning the evidence, validity and scope of this patent right.
The holder of this patent right has assured the IEC that he/she is willing to negotiate licences
either free of charge or under reasonable and non-discriminatory terms and conditions with
applicants throughout the world. In this respect, the statement of the holder of this patent right
is registered with IEC. Information may be obtained from:
Panasonic Corporation
© IEC 2018
1-1 Saiwai-cho,
Takatsuki City,
Osaka 569-1193,
Japan
Attention is drawn to the possibility that some of the elements of this document may be the
subject of patent rights other than those identified above. IEC shall not be held responsible for
identifying any or all such patent rights.
ISO (www.iso.org/patents) and IEC (http://patents.iec.ch) maintain on-line data bases of
patents relevant to their standards. Users are encouraged to consult the data bases for the
most up to date information concerning patents.

– 10 – IEC 61167:2018+AMD1:2018
© IEC 2018
METAL HALIDE LAMPS – PERFORMANCE SPECIFICATION

1 Scope
This document specifies the performance requirements for metal halide lamps for general
lighting purposes.
For some of the requirements given in this document, reference is made to “the relevant lamp
data sheet”. For some lamps, these data sheets are contained in this document. For other
lamps, falling under the scope of this document, the relevant data are supplied by the lamp
manufacturer or responsible vendor.
The requirements of this document relate only to type testing.
The requirements and tolerances specified in this document correspond to testing of a type
test sample submitted by the manufacturer for that purpose. In principle this type test sample
consists of units having characteristics typical of the manufacturer’s production and being as
close to the production centre point values as possible.
It can be expected that with the tolerances given in this document, the product manufactured
in accordance with the type test sample will comply with this document for the majority of
production. Due to the production spread however, it is inevitable that there will sometimes be
products outside the specified tolerances. For guidance on sampling plans and procedures for
inspection by attributes, see ISO 2859-10.
2 Normative references
The following documents are referred to in the text in such a way that some or all of their
content constitutes requirements of this document. For dated references, only the edition
cited applies. For undated references, the latest edition of the referenced document (including
any amendments) applies.
IEC 60050-845, International Electrotechnical Vocabulary – Part 845: Lighting (available at
http://www.electropedia.org)
IEC 60061-1, Lamp caps and holders together with gauges for the control of
interchangeability and safety – Part 1: Lamp caps
IEC 60923, Auxiliaries for lamps – Ballasts for discharge lamps (excluding tubular fluorescent
lamps) – Performance requirements
IEC 60927, Auxiliaries for lamps – Starting devices (other than glow starters) – Performance
requirements
IEC TR 61341, Method of measurement of centre beam intensity and beam angle(s) of
reflector lamps
IEC 62035, Discharge lamps (excluding fluorescent lamps) – Safety specifications
IEC 62471, Photobiological safety of lamp and lamp systems
CIE 084, Measurement of luminous flux

© IEC 2018
3 Terms and definitions
For the purposes of this document, the terms and definitions given in IEC 60050-845 and the
following apply.
ISO and IEC maintain terminological databases for use in standardization at the following
addresses:
• IEC Electropedia: available at http://www.electropedia.org/
• ISO Online browsing platform: available at http://www.iso.org/obp
3.1
metal halide lamp
high-intensity discharge lamp in which the major portion of the light is produced by the
radiation of a mixture of metallic vapour, metal halides and the products issued from the
dissociation of metal halides
Note 1 to entry: The definition covers clear and coated lamps.
[SOURCE: IEC 60050-845:1987, 845.07.25, modified — "by the radiation of" and "metal
halides" have been added.]
3.2
nominal value
approximate quantity value used to designate or identify a lamp
[SOURCE: IEC 60081:1997, 1.4.3]
3.3
rated value
quantity value for a characteristic of a lamp for specified operating conditions
Note 1 to entry: The value and the conditions are specified in this document, or assigned by the manufacturer or
responsible vendor.
[SOURCE: IEC 60081:1997, 1.4.4]
3.4
lumen maintenance
ratio of the luminous flux of a lamp at a given time in its life to the initial reading of its
luminous flux, the lamp being operated under specific conditions
Note 1 to entry: The ratio is generally expressed as a percentage.
3.5
initial readings
starting characteristics of a lamp, measured before ageing, and the electrical and photometric
characteristics, measured at the end of the 100 h ageing period
3.6
reference ballast
special ballast complying with the requirements of IEC 60923, designed for the purpose of
providing comparison standards for use in testing ballasts, for the selection of reference
lamps and for testing regular production lamps under standardised conditions
Note 1 to entry: It is essentially characterised by the fact that, at its rated frequency, it has a stable
voltage/current ratio which is relatively uninfluenced by variations in current, temperature and electromagnetic
surroundings, as outlined in the relevant ballast standard.

– 12 – IEC 61167:2018+AMD1:2018
© IEC 2018
[SOURCE: IEC 60662:2011, 3.4, modified — "inductive type" has been deleted and
"complying with the requirements of IEC 60923" has been added.]
3.7
type test
test or a series of tests made on a type test sample for the purpose of checking compliance of
the design of a given product with the requirements of the relevant standard
[SOURCE: IEC 60081:1997, 1.4.10]
3.8
specific effective radiant UV power
effective power of the UV radiation of a lamp related to its luminous flux
Note 1 to entry: Specific effective radiant UV power is expressed in mW/klm.
Note 2 to entry: The effective power of the UV radiation is obtained by weighting the spectral power distribution of
the lamp with the UV hazard function S (Λ). Information about the relevant UV hazard function is given in
UV
IEC 62471. It only relates to possible hazards regarding UV exposure of human beings. It does not deal with the
possible influence of optical radiation on materials, like mechanical damage or discoloration.
3.9
type test sample
sample consisting of one or more similar units submitted by the manufacturer or the
responsible vendor for the purpose of a type test
3.10
inrush current
short term high lamp current, totally or partially rectified, by the asymmetrical electrode
heating for some seconds during lamp ignition
3.11
warm-up current
increased lamp current after the inrush phase which is due to the low initial lamp voltage
Note 1 to entry: It is in the limits of double rated lamp current down to a value corresponding to the highest
allowed lamp voltage.
3.12
run-up time
maximum time allowed to reach 90 % of the declared luminous flux, after switching on a 100 h
aged lamp at rated supply voltage
3.13
take-over
time between a lamp being able to conduct current until electrodes are at thermionic emission
Note 1 to entry: At the end of the take-over phase, the lamp power factor is above 0,9 and the lamp voltage
stabilises and ramps up from about 20 V RMS.
3.14
PCR
peak current ratio
ratio between the peak currents and the RMS currents
Note 1 to entry: For measurement procedure, see Annex G.
Note 2 to entry: This note only applies to the French language.

© IEC 2018
3.15
typical lamp voltage
steady state lamp voltage expected for a lamp operating on a low frequency square wave
ballast
3.16
typical lamp current
steady state lamp current expected for a lamp operating on a low frequency square wave
ballast
Note 1 to entry: Typical lamp current is derived from the lamp rated power and typical lamp voltage. In practice,
lamps for use on low frequency square wave ballasts may be targeted to a different voltage within the allowed
range for best performance, and the lamp current will be different accordingly. Typical lamp voltages and currents
have been used as a basis for assigning currents at take-over and run-up.
3.17
commutation time
fall and rise time
transition time of lamp current at half cycle polarity reversals
Note 1 to entry: It is measured using lamp current waveforms between 90 % of the RMS value of one half cycle to
90 % of the RMS value of the opposite half cycle.
3.18
high frequency breakdown
HF breakdown
method of ignition where the breakdown is realised by applying high frequency high voltage
Note 1 to entry: In contrast to pulse breakdown, a high frequency voltage is applied for a duration of at least
several oscillation periods such that the voltage necessary for igniting the lamp is lower due to cumulative effects.
4 Lamp requirements
4.1 General
A lamp, according to this document, shall comply with the requirements of IEC 62035.
Some lamps are specified on the data sheet or declared by the manufacturer as suitable for
operation on low frequency square wave ballasts only. For these lamps, separate
requirements are indicated where appropriate.
A lamp shall be so designed that its performance is reliable in normal and accepted use. In
general, this can be achieved by satisfying the requirements of 4.2 to 4.9.
The requirements given apply to 95 % of production.
4.2 Marking
4.2.1 Colour appearance
A suitable advice on the colour appearance is required. It may preferably take the form of
ILCOS (see IEC 61231), or the 3-digit code of IEC TR 62732. Other options are the
manufacturer’s code or the correlated colour temperature. The information may be given
either on the lamp or in the supplier’s catalogue.
4.2.2 Lamps for operation on high pressure sodium controlgear
Where specified on the lamp data sheet the symbol shall be marked on the lamp.

– 14 – IEC 61167:2018+AMD1:2018
© IEC 2018
4.3 Dimensions
The dimensions of a lamp shall comply with the values specified on the relevant lamp data
sheet.
4.4 Caps
The cap on a finished lamp shall comply with IEC 60061-1.
4.5 Starting and warm-up characteristics
4.5.1 Lamps that may operate on electromagnetic ballasts
A lamp shall start fully within the maximum run-up time specified on the relevant lamp data
sheet and remain alight. Conditions and method of test are given in Annex A.
The maximum inrush current as given on the lamp data sheet shall not be exceeded. For the
test circuit and procedure, see IEC 60923.
The lamp warm-up current shall be between the minimum and maximum values as given on
the lamp data sheet. Conditions and method of test are given in Annex A.
NOTE The maximum inrush current (peak) restricts the value of the current during rectification in the starting
phase in order to prevent performance damages of ballast and lamp (overheating and melting of the electrodes).
The reason for specifying the minimum warm-up current is to safeguard the transition from the glow phase to the
arc phase.
4.5.2 Lamps suitable for low frequency square wave ballasts only
A lamp shall start and run up fully within the time specified on the lamp data sheet, applying
the method of test given in E.3.1.
4.6 Electrical characteristics
The lamp electrical characteristics shall comply with the values given in the relevant lamp
data sheet. Conditions and method of test are given in Annex B.
For lamps suitable for operation on low frequency square wave ballasts only, conditions and
method of test are given in Annex E.
4.7 Photometric characteristics
The photometric requirements are as follows.
a) The initial r
...


IEC 61167 ®
Edition 4.0 2018-04
INTERNATIONAL
STANDARD
NORME
INTERNATIONALE
colour
inside
Metal halide lamps – Performance specification

Lampes aux halogénures métalliques – Spécifications de performances
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IEC 61167 ®
Edition 4.0 2018-04
INTERNATIONAL
STANDARD
NORME
INTERNATIONALE
colour
inside
Metal halide lamps – Performance specification

Lampes aux halogénures métalliques – Spécifications de performances

INTERNATIONAL
ELECTROTECHNICAL
COMMISSION
COMMISSION
ELECTROTECHNIQUE
INTERNATIONALE
ICS 29.140.30 ISBN 978-2-8322-5649-7

– 2 – IEC 61167:2018 © IEC 2018
CONTENTS
FOREWORD . 6
INTRODUCTION . 8
1 Scope . 10
2 Normative references . 10
3 Terms and definitions . 11
4 Lamp requirements . 13
4.1 General . 13
4.2 Marking . 13
4.2.1 Colour appearance . 13
4.2.2 Lamps for operation on high pressure sodium controlgear . 13
4.3 Dimensions . 14
4.4 Caps . 14
4.5 Starting and warm-up characteristics . 14
4.5.1 Lamps that may operate on electromagnetic ballasts . 14
4.5.2 Lamps suitable for low frequency square wave ballasts only . 14
4.6 Electrical characteristics . 14
4.7 Photometric characteristics . 14
4.8 Colour characteristics . 14
4.8.1 Lamps with non-standardised chromaticity co-ordinates . 14
4.8.2 Lamps with standardised chromaticity co-ordinates . 15
4.8.3 Colour rendering index . 15
4.8.4 Requirements and test conditions . 15
4.9 Lumen maintenance and life . 15
5 Information for ballast, ignitor and luminaire design . 15
6 Data sheets . 15
6.1 General principles of numbering sheets . 15
6.2 Lists of data sheets . 15
6.2.1 List of diagrammatic lamp data sheets . 15
6.2.2 List of lamp data sheets . 30
6.3 List of maximum lamp outline sheets (construction according to IEC 61126) . 361
Annex A (normative) Method of measuring lamp starting and warm-up characteristics . 364
A.1 General . 364
A.2 Measurements . 364
Annex B (normative) Method of measuring electrical and photometrical characteristics
(lamps for operation on 50 Hz or 60 Hz supply frequencies) . 366
B.1 General . 366
B.2 Particular requirements for double-capped lamps . 366
B.3 Colour characteristics . 367
B.4 Supply . 367
B.5 Instruments . 367
B.6 Measurement . 367
Annex C (normative) Method of test for lumen maintenance and life . 370
C.1 General . 370
C.2 Lamps for operation on 50 Hz or 60 Hz supply frequencies . 370
C.3 Lamps for operation on low frequency square wave . 370

Annex D (informative) Information for luminaire design . 371
D.1 Maximum lamp outlines . 371
D.2 Replacement of lamps . 371
Annex E (normative) Method of measuring electrical and photometrical characteristics
on low frequency square wave reference ballast . 372
E.1 General . 372
E.2 Characteristics . 372
E.3 Test procedure . 372
E.3.1 General . 372
E.3.2 Start-up . 373
E.3.3 Steady state . 373
Annex F (normative) Spectral analysis of power ripple: calculation procedure for
amplitude spectrum ratio and guidance . 374
F.1 General . 374
F.2 Mathematical background . 374
F.2.1 General . 374
F.2.2 Description of the algorithm . 374
F.3 Measurement procedure . 375
F.4 Test signal . 375
F.4.1 General . 375
F.4.2 Description of the test signal. 375
F.4.3 Outcome of the test signal . 376
Annex G (informative) Low frequency square wave operation . 377
G.1 General . 377
G.2 Operation phases . 377
G.3 Information relevant for square wave controlgear design . 377
G.3.1 Breakdown . 377
G.3.2 Take-over . 380
G.3.3 Run-up . 380
G.3.4 Steady state normal operation . 381
G.3.5 Steady state extended operation . 383
Annex H (informative) Information for ballast design . 385
H.1 General . 385
H.2 Explanation of the ignition schemes for pulse breakdown . 385
Annex I (informative) Temperature limits for luminaire design . 387
Annex J (informative) ILCOS codes . 389
Annex K (informative) Method of measuring the bulb, pinch, reflector and base
temperatures of metal halide lamps for luminaire design . 392
K.1 General . 392
K.2 Measurement conditions . 392
K.3 Choice and attachment of thermocouples for bulb, pinch, reflector and base
temperature measurements . 393
K.3.1 General . 393
K.3.2 Thermocouple attachment by mechanical clamping . 393
K.3.3 Thermocouple attachment by adhesive . 393
K.4 Thermocouple fixing point locations and lamp burning positions by metal
halide lamp types . 394
Bibliography . 402

– 4 – IEC 61167:2018 © IEC 2018
Figure A.1 – Circuit diagram for measurement of lamp starting and warm-up
characteristics . 365
Figure B.1 – Circuit diagram for measurement of lamp characteristics . 368
Figure B.2 – Luminaire simulator for use with double-capped lamps . 369
Figure E.1 – Circuit for lamp measurement under reference conditions . 373
Figure G.1 – Typical selection from a high frequency ignition sequence . 379
Figure G.2 – Measurement of PCR during run-up and steady state . 383
Figure G.3 – Example of a measurement circuit of lamp potential against earth . 384
Figure G.4 – Commutation time, deviating waveform . 384
Figure G.5 – HF ripple and fast Fourier transformation (power curve) . 384
Figure H.1 – Example 1 for ignition scheme according to option (1) (see Annex G and
lamp data sheets) . 385
Figure H.2 – Example 2 for ignition scheme according to option (1) (see Annex G and
lamp data sheets) . 385
Figure H.3 – Example for ignition scheme according to option (2) (see Annex G and
lamp data sheets) . 386
Figure I.1 – Principal ways of heat transport in a lamp . 387
Figure K.1 – Schematic view of thermocouple attachment using mechanical clamping . 394
Figure K.2 – Schematic view of thermocouple attachment using adhesive (cement) . 395
Figure K.3 – Burning position and thermocouple junction fixing points for temperature
readings –G8.5 cap . 395
Figure K.4 – Burning position and thermocouple junction fixing points for temperature
readings – G12 cap . 396
Figure K.5 – Burning position and thermocouple junction fixing points for temperature
readings – E27/E40 cap, tubular bulb . 397
Figure K.6 – Burning position and thermocouple junction fixing points for temperature
readings – E27/E40 cap, elliptical bulb . 398
Figure K.7 – Burning position and thermocouple junction fixing points for temperature
readings –E27 cap, PAR reflector, . 399
Figure K.8 – Burning position and thermocouple junction fixing points for temperature
readings – GX8.5 cap . 400
Figure K.9 – Burning position and thermocouple junction fixing points for temperature
readings – RX7s and RX7s-24 cap . 401
Figure K.10 – Burning position and thermocouple junction fixing points for temperature
readings – Fc2 cap . 401

Table 1 – List of diagrammatic lamp data sheets . 16
Table 2 – List of lamp data sheets . 30
Table 3 – List of maximum lamp outline sheets . 361
Table B.1 – Correlated colour temperature and chromaticity co-ordinates x and y . 367
Table E.1 – Characteristics of the reference ballast . 372
Table F.1 – Settings of the analysing oscilloscope . 375
Table G.1 – Requirements for pulse breakdown . 378
Table G.2 – Requirements for high frequency breakdown . 380
Table G.3 – Requirements for take-over . 380
Table G.4 – Requirements for run-up . 381
Table G.5 – Requirements for steady state normal operation . 382

Table G.6 – Requirements for extended operation . 383
Table J.1 – Lamp coding . 389

– 6 – IEC 61167:2018 © IEC 2018
INTERNATIONAL ELECTROTECHNICAL COMMISSION
____________
METAL HALIDE LAMPS – PERFORMANCE SPECIFICATION

FOREWORD
1) The International Electrotechnical Commission (IEC) is a worldwide organization for standardization comprising
all national electrotechnical committees (IEC National Committees). The object of IEC is to promote
international co-operation on all questions concerning standardization in the electrical and electronic fields. To
this end and in addition to other activities, IEC publishes International Standards, Technical Specifications,
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Publication(s)”). Their preparation is entrusted to technical committees; any IEC National Committee interested
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with the International Organization for Standardization (ISO) in accordance with conditions determined by
agreement between the two organizations.
2) The formal decisions or agreements of IEC on technical matters express, as nearly as possible, an international
consensus of opinion on the relevant subjects since each technical committee has representation from all
interested IEC National Committees.
3) IEC Publications have the form of recommendations for international use and are accepted by IEC National
Committees in that sense. While all reasonable efforts are made to ensure that the technical content of IEC
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misinterpretation by any end user.
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transparently to the maximum extent possible in their national and regional publications. Any divergence
between any IEC Publication and the corresponding national or regional publication shall be clearly indicated in
the latter.
5) IEC itself does not provide any attestation of conformity. Independent certification bodies provide conformity
assessment services and, in some areas, access to IEC marks of conformity. IEC is not responsible for any
services carried out by independent certification bodies.
6) All users should ensure that they have the latest edition of this publication.
7) No liability shall attach to IEC or its directors, employees, servants or agents including individual experts and
members of its technical committees and IEC National Committees for any personal injury, property damage or
other damage of any nature whatsoever, whether direct or indirect, or for costs (including legal fees) and
expenses arising out of the publication, use of, or reliance upon, this IEC Publication or any other IEC
Publications.
8) Attention is drawn to the Normative references cited in this publication. Use of the referenced publications is
indispensable for the correct application of this publication.
International Standard IEC 61167 has been prepared by subcommittee 34A: Lamps, of IEC
technical committee 34: Lamps and related equipment.
This fourth edition cancels and replaces the third edition published in 2015. This edition
constitutes a technical revision.
This edition includes the following significant technical changes with respect to the previous
edition.
a) A set of new lamp data sheets has been introduced for lamp types designed for replacing
high pressure sodium lamps.
b) A set of new lamp data sheets has been introduced for 4 200 K versions of 3 000 K lamp
types already in the standard.
c) A set of new lamp data sheets has been introduced for new lamp types where high
frequency ignition data is important.
d) Annex G has been revised to incorporate high frequency ignition. As a consequence of
this change, all data sheets in the standard have been revised to a new format.
e) A new informative Annex K has been introduced, giving recommended methods of making
lamp temperature measurements.

The text of this standard is based on the following documents:
FDIS Report on voting
34A/2051/FDIS 34A/2058/RVD
Full information on the voting for the approval of this International Standard can be found in
the report on voting indicated in the above table.
This document has been drafted in accordance with the ISO/IEC Directives, Part 2.
The committee has decided that the contents of this document will remain unchanged until the
stability date indicated on the IEC website under "http://webstore.iec.ch" in the data related to
the specific document. At this date, the document will be
• reconfirmed,
• withdrawn,
• replaced by a revised edition, or
• amended.
The contents of the corrigendum of April 2019 have been included in this copy.
IMPORTANT – The 'colour inside' logo on the cover page of this publication indicates
that it contains colours which are considered to be useful for the correct
understanding of its contents. Users should therefore print this document using a
colour printer.
– 8 – IEC 61167:2018 © IEC 2018
INTRODUCTION
A big step forward when standardising metal halide lamps and their operation was made with
the second edition which was published in 2011. Meanwhile, agreements were reached for the
introduction of new lamp types and in aspects of operation which led to the third edition.
Major changes in the second edition were as follows. Since IEC 62035 was published in 1999,
the related lamp specific performance standards such as IEC 61167 needed to be reviewed in
an editorial action, splitting performance and safety requirements, but also to include all items
in abeyance, stored for this occasion. The separation had already been carried out with other
HID lamps. So, in some instances, the “pilot” text of IEC 60188 was used. Moreover, the
measurement part was introduced with the assistance of IEC 60188 and IEC 60081.
It may also be noted that the colour coordinates for CCT 3 000 K and 4 200 K were adjusted
to a point two units below Planck in order to take account of the life time shift to higher y-
values.
Apart from these basic changes which had been needed for a long time, the new technique of
low frequency square wave (LFSW) operation was implemented. This led to additional pages
to the existing lamp data sheets and several annexes describing and specifying the
requirements. Further, detailed requirements and measurement methods for the ignition
(break down/take-over/run-up) were introduced. Intense discussions took place on
measurement and specification of the peak-current ratio during ignition and steady state.
Workshops were held in order to come to a broad worldwide acceptance of the concepts. The
workshops were open to experts from the lamp and control gear side in order to accommodate
the interface between control gear and lamp to these requirements.
Further lamp types which were considered to have market relevance and needing normative
support were also added.
Major changes in the third edition were as follows. Compared to the second edition, a set of
new lamp data sheets (20 W, 35 W, 50 W, 100 W) was introduced. Reference to ILCOS
(International lamp coding system) was removed from the lamp data sheets and located in a
new annex. Information on outer bulb temperature (and in some cases also on pin
temperature and temperature adjacent to cap) was replaced with an explanation on
differences in manufacturers’ construction; this explanation was given in detail in a new
annex.
Major changes of this fourth edition are as follows. A total of 28 new data sheets have been
introduced to specify lamp types designed for replacing high pressure sodium lamps, 4 200 K
versions of 3 000 K lamp types already in the standard and lamp types where high frequency
ignition is important. Annex G has been revised to incorporate high frequency ignition. As a
consequence of this change, all data sheets in the standard have been revised to a new
format. A new informative Annex K has been introduced, giving recommended methods of
making lamp temperature measurements.
The International Electrotechnical Commission (IEC) draws attention to the fact that it is
claimed that compliance with this document may involve the use of patents concerning the
lamp given in standard sheets 1035E, 1035F, 1070C and 1070D.
IEC takes no position concerning the evidence, validity and scope of this patent right.
The holder of this patent right has assured the IEC that he/she is willing to negotiate licences
either free of charge or under reasonable and non-discriminatory terms and conditions with
applicants throughout the world. In this respect, the statement of the holder of this patent right
is registered with IEC. Information may be obtained from:
Panasonic Corporation
1-1 Saiwai-cho,
Takatsuki City,
Osaka 569-1193,
Japan
Attention is drawn to the possibility that some of the elements of this document may be the
subject of patent rights other than those identified above. IEC shall not be held responsible for
identifying any or all such patent rights.
ISO (www.iso.org/patents) and IEC (http://patents.iec.ch) maintain on-line data bases of
patents relevant to their standards. Users are encouraged to consult the data bases for the
most up to date information concerning patents.

– 10 – IEC 61167:2018 © IEC 2018
METAL HALIDE LAMPS – PERFORMANCE SPECIFICATION

1 Scope
This document specifies the performance requirements for metal halide lamps for general
lighting purposes.
For some of the requirements given in this document, reference is made to “the relevant lamp
data sheet”. For some lamps, these data sheets are contained in this document. For other
lamps, falling under the scope of this document, the relevant data are supplied by the lamp
manufacturer or responsible vendor.
The requirements of this document relate only to type testing.
The requirements and tolerances specified in this document correspond to testing of a type
test sample submitted by the manufacturer for that purpose. In principle this type test sample
consists of units having characteristics typical of the manufacturer’s production and being as
close to the production centre point values as possible.
It can be expected that with the tolerances given in this document, the product manufactured
in accordance with the type test sample will comply with this document for the majority of
production. Due to the production spread however, it is inevitable that there will sometimes be
products outside the specified tolerances. For guidance on sampling plans and procedures for
inspection by attributes, see ISO 2859-10.
2 Normative references
The following documents are referred to in the text in such a way that some or all of their
content constitutes requirements of this document. For dated references, only the edition
cited applies. For undated references, the latest edition of the referenced document (including
any amendments) applies.
IEC 60050-845, International Electrotechnical Vocabulary – Part 845: Lighting (available at
http://www.electropedia.org)
IEC 60061-1, Lamp caps and holders together with gauges for the control of
interchangeability and safety – Part 1: Lamp caps
IEC 60923, Auxiliaries for lamps – Ballasts for discharge lamps (excluding tubular fluorescent
lamps) – Performance requirements
IEC 60927, Auxiliaries for lamps – Starting devices (other than glow starters) – Performance
requirements
IEC TR 61341, Method of measurement of centre beam intensity and beam angle(s) of
reflector lamps
IEC 62035, Discharge lamps (excluding fluorescent lamps) – Safety specifications
IEC 62471, Photobiological safety of lamp and lamp systems
CIE 084, Measurement of luminous flux

3 Terms and definitions
For the purposes of this document, the terms and definitions given in IEC 60050-845 and the
following apply.
ISO and IEC maintain terminological databases for use in standardization at the following
addresses:
• IEC Electropedia: available at http://www.electropedia.org/
• ISO Online browsing platform: available at http://www.iso.org/obp
3.1
metal halide lamp
high-intensity discharge lamp in which the major portion of the light is produced by the
radiation of a mixture of metallic vapour, metal halides and the products issued from the
dissociation of metal halides
Note 1 to entry: The definition covers clear and coated lamps.
[SOURCE: IEC 60050-845:1987, 845.07.25, modified — "by the radiation of" and "metal
halides" have been added.]
3.2
nominal value
approximate quantity value used to designate or identify a lamp
[SOURCE: IEC 60081:1997, 1.4.3]
3.3
rated value
quantity value for a characteristic of a lamp for specified operating conditions
Note 1 to entry: The value and the conditions are specified in this document, or assigned by the manufacturer or
responsible vendor.
[SOURCE: IEC 60081:1997, 1.4.4]
3.4
lumen maintenance
ratio of the luminous flux of a lamp at a given time in its life to the initial reading of its
luminous flux, the lamp being operated under specific conditions
Note 1 to entry: The ratio is generally expressed as a percentage.
3.5
initial readings
starting characteristics of a lamp, measured before ageing, and the electrical and photometric
characteristics, measured at the end of the 100 h ageing period
3.6
reference ballast
special ballast complying with the requirements of IEC 60923, designed for the purpose of
providing comparison standards for use in testing ballasts, for the selection of reference
lamps and for testing regular production lamps under standardised conditions
Note 1 to entry: It is essentially characterised by the fact that, at its rated frequency, it has a stable
voltage/current ratio which is relatively uninfluenced by variations in current, temperature and electromagnetic
surroundings, as outlined in the relevant ballast standard.

– 12 – IEC 61167:2018 © IEC 2018
[SOURCE: IEC 60662:2011, 3.4, modified — "inductive type" has been deleted and
"complying with the requirements of IEC 60923" has been added.]
3.7
type test
test or a series of tests made on a type test sample for the purpose of checking compliance of
the design of a given product with the requirements of the relevant standard
[SOURCE: IEC 60081:1997, 1.4.10]
3.8
specific effective radiant UV power
effective power of the UV radiation of a lamp related to its luminous flux
Note 1 to entry: Specific effective radiant UV power is expressed in mW/klm.
Note 2 to entry: The effective power of the UV radiation is obtained by weighting the spectral power distribution of
the lamp with the UV hazard function S (Λ). Information about the relevant UV hazard function is given in
UV
IEC 62471. It only relates to possible hazards regarding UV exposure of human beings. It does not deal with the
possible influence of optical radiation on materials, like mechanical damage or discoloration.
3.9
type test sample
sample consisting of one or more similar units submitted by the manufacturer or the
responsible vendor for the purpose of a type test
3.10
inrush current
short term high lamp current, totally or partially rectified, by the asymmetrical electrode
heating for some seconds during lamp ignition
3.11
warm-up current
increased lamp current after the inrush phase which is due to the low initial lamp voltage
Note 1 to entry: It is in the limits of double rated lamp current down to a value corresponding to the highest
allowed lamp voltage.
3.12
run-up time
maximum time allowed to reach 90 % of the declared luminous flux, after switching on a 100 h
aged lamp at rated supply voltage
3.13
take-over
time between a lamp being able to conduct current until electrodes are at thermionic emission
Note 1 to entry: At the end of the take-over phase, the lamp power factor is above 0,9 and the lamp voltage
stabilises and ramps up from about 20 V RMS.
3.14
PCR
peak current ratio
ratio between the peak currents and the RMS currents
Note 1 to entry: For measurement procedure, see Annex G.
Note 2 to entry: This note only applies to the French language.

3.15
typical lamp voltage
steady state lamp voltage expected for a lamp operating on a low frequency square wave
ballast
3.16
typical lamp current
steady state lamp current expected for a lamp operating on a low frequency square wave
ballast
Note 1 to entry: Typical lamp current is derived from the lamp rated power and typical lamp voltage. In practice,
lamps for use on low frequency square wave ballasts may be targeted to a different voltage within the allowed
range for best performance, and the lamp current will be different accordingly. Typical lamp voltages and currents
have been used as a basis for assigning currents at take-over and run-up.
3.17
commutation time
fall and rise time
transition time of lamp current at half cycle polarity reversals
Note 1 to entry: It is measured using lamp current waveforms between 90 % of the RMS value of one half cycle to
90 % of the RMS value of the opposite half cycle.
3.18
high frequency breakdown
HF breakdown
method of ignition where the breakdown is realised by applying high frequency high voltage
Note 1 to entry: In contrast to pulse breakdown, a high frequency voltage is applied for a duration of at least
several oscillation periods such that the voltage necessary for igniting the lamp is lower due to cumulative effects.
4 Lamp requirements
4.1 General
A lamp, according to this document, shall comply with the requirements of IEC 62035.
Some lamps are specified on the data sheet or declared by the manufacturer as suitable for
operation on low frequency square wave ballasts only. For these lamps, separate
requirements are indicated where appropriate.
A lamp shall be so designed that its performance is reliable in normal and accepted use. In
general, this can be achieved by satisfying the requirements of 4.2 to 4.9.
The requirements given apply to 95 % of production.
4.2 Marking
4.2.1 Colour appearance
A suitable advice on the colour appearance is required. It may preferably take the form of
ILCOS (see IEC 61231), or the 3-digit code of IEC TR 62732. Other options are the
manufacturer’s code or the correlated colour temperature. The information may be given
either on the lamp or in the supplier’s catalogue.
4.2.2 Lamps for operation on high pressure sodium controlgear
Where specified on the lamp data sheet the symbol shall be marked on the lamp.

– 14 – IEC 61167:2018 © IEC 2018
4.3 Dimensions
The dimensions of a lamp shall comply with the values specified on the relevant lamp data
sheet.
4.4 Caps
The cap on a finished lamp shall comply with IEC 60061-1.
4.5 Starting and warm-up characteristics
4.5.1 Lamps that may operate on electromagnetic ballasts
A lamp shall start fully within the maximum run-up time specified on the relevant lamp data
sheet and remain alight. Conditions and method of test are given in Annex A.
The maximum inrush current as given on the lamp data sheet shall not be exceeded. For the
test circuit and procedure, see IEC 60923.
The lamp warm-up current shall be between the minimum and maximum values as given on
the lamp data sheet. Conditions and method of test are given in Annex A.
NOTE The maximum inrush current (peak) restricts the value of the current during rectification in the starting
phase in order to prevent performance damages of ballast and lamp (overheating and melting of the electrodes).
The reason for specifying the minimum warm-up current is to safeguard the transition from the glow phase to the
arc phase.
4.5.2 Lamps suitable for low frequency square wave ballasts only
A lamp shall start and run up fully within the time specified on the lamp data sheet, applying
the method of test given in E.3.1.
4.6 Electrical characteristics
The lamp electrical characteristics shall comply with the values given in the relevant lamp
data sheet. Conditions and method of test are given in Annex B.
For lamps suitable for operation on low frequency square wave ballasts only, conditions and
method of test are given in Annex E.
4.7 Photometric characteristics
The photometric requirements are as follows.
a) The initial reading of the luminous flux shall be not less than 90 % of the rated value.
b) The initial reading of the centre beam intensity of a reflector lamp shall be not less than
75 % of the rated value.
c) The initial beam angle of a reflector lamp shall be within ±25 % of the rated value for all
beam angles.
d) Conditions and method of test are given in Annex B.
For lamps suitable for operation on low frequency square wave ballasts only, conditions and
method of test are given in Annex E.
4.8 Colour characteristics
4.8.1 Lamps with non-standardised chromaticity co-ordinates
The rated values and tolerance areas shall be assigned by the manufacturer or responsible
vendor.
4.8.2 Lamps with standardised chromaticity co-ordinates
The
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