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Per cent mille 1/1 https://en.wikipedia.org/wiki/Per_cent_mille reference science, encyclopedia 2026-05-05T11:52:18.992940+00:00 kb-cron

A per cent mille, or pcm, is a hundred-thousandth, or a thousandth of a percent. It can be thought of as a "milli-percent". It is commonly used in epidemiology, and in nuclear reactor engineering as a unit of reactivity.

== Epidemiology == Statistics of crime rates, mortality and disease prevalence in a population are often given in "per 100000".

== Nuclear reactivity == In nuclear reactor engineering, a per cent mille is equal to one-thousandth of a percent of the reactivity, denoted by Greek lowercase letter rho. Reactivity is a dimensionless unit representing a departure from criticality, calculated by:

    ρ
    =
    (
    
      k
      
        eff
      
    
    
    1
    )
    
      /
    
    
      k
      
        eff
      
    
  

{\displaystyle \rho =(k_{\text{eff}}-1)/k_{\text{eff}}}

where keff denotes the effective multiplication factor for the reaction. Therefore, one pcm is equal to:

    1
     
    
      pcm
    
    =
    ρ
    ⋅
    
      10
      
        5
      
    
  

{\displaystyle 1~{\text{pcm}}=\rho \cdot 10^{5}}

This unit is commonly used in the operation of light-water reactor sites because reactivity values tend to be small, so measuring in pcm allows reactivity to be expressed using whole numbers.

== Related units == Percentage point difference of 1 part in 100 Percentage (%) 1 part in 100 Per mille (‰) 1 part in 1,000 Basis point (bp) difference of 1 part in 10,000 Permyriad (‱) 1 part in 10,000 Parts-per notation including parts-per million, parts-per billion etc

== See also == InHour (another unit of reactivity) Dollar (reactivity) Parts-per notation Per-unit system Percent point function

== Notes ==