Guide for the Use of the International System of Units (SI)


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7.10.3 ppm, ppb, and ppt 
 
In keeping with Ref. [4: ISO 31-0], this Guide takes the position that the language-dependent terms 
part per million, part per billion, and part per trillion, and their respective abbreviations “ppm,” “ppb,” and 
“ppt” (and similar terms and abbreviations), are not acceptable for use with the SI to express the values of 
quantities. Forms such as those given in the following examples should be used instead. 
 
Examples
a stability of 0.5 (µA/A)/min
but not: a stability of 0.5 ppm/min 
a shift of 1.1 nm/m
but not: a shift of 1.1 ppb 
a frequency change of 0.35 
× 10
−9
f but 
not: a frequency change of 0.35 ppb 
a sensitivity of 2 ng/kg
but not: a sensitivity of 2 ppt 
the relative expanded uncertainty of the resistance is U

= 3 µΩ/Ω 
or 
the expanded uncertainty of the resistance is = 3 
× 10
−6
R 
or 
the relative expanded uncertainty of the resistance is U
r
= 3 
× 10
−6
 

 
 
 
 
but not


Guide for the Use of the International System of Units (SI) 
 
21 
the relative expanded uncertainty of the resistance is U
r
= 3 ppm 
Because the names of numbers 10
9
and larger are not uniform worldwide, it is best that they be 
avoided entirely (in many countries, 1 billion = 1 
× 10
12
, not 1 
× 10
9
as in the United States); the preferred 
way of expressing large numbers is to use powers of 10. This ambiguity in the names of numbers is one of 
the reasons why the use of ppm, ppb, ppt, and the like is deprecated. Another, and a more important one, is 
that it is inappropriate to use abbreviations that are language dependent together with internationally 
recognized signs and symbols, such as MPa, ln, 10
13
, and %, to express the values of quantities and in 
equations or other mathematical expressions (see also Sec. 7.6). 
Note: This Guide recognizes that in certain cases the use of ppm, ppb, and the like may be required by a 
law or a regulation. Under these circumstances, Secs. 2.1 and 2.1.1 apply. 

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