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In this chapter, page 70, I encountered the term `Gaussian chains of network'. In equation 3.34 (page 73) of this chapter, the phrase 'n is the number of moles of Gaussian chains' occurs in the description of a formula which is also referred to in a laboratory guide document:

An advanced three-dimensional molecular model of rubber elasticity (affine network model or freely jointed chain model, yields the equation of state $$f = n Ak_B(α − \frac{1}{α^2})T $$ with n the number of polymer chains per unit volume, $A$ the cross-sectional area of the unstretched rubber band, and $α = L/L_0$ the ratio of the length to the unstretched length $L_0$.

Are there standard values on the internet for the number of Gaussian chains of network per unit volume of a rubber? Or maybe estimates or a rough indication? Can this value be expressed in other numbers which are easier to work with?

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    $\begingroup$ Note that "number of moles" is a layman synonymum for molar amount. We do not say "number of kilograms" either, but mass. $\endgroup$
    – Poutnik
    Commented Oct 19, 2022 at 17:40
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    $\begingroup$ @BuckThorn I have intended my comment as the general note, not targetting anybody in particular. The document repeatedly writes the number of moles of near to the Eq. 3.34, but somewhere "of moles" is omitted. $\endgroup$
    – Poutnik
    Commented Oct 20, 2022 at 7:27
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    $\begingroup$ @Poutnik Never mind. The document does use "moles of xxx". However since the OP is quoting verbatim a pass is allowed. Being stringent on the detail will not help much. $\endgroup$
    – Buck Thorn ♦
    Commented Oct 20, 2022 at 7:31
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    $\begingroup$ @BuckThorn I agree for number of moles vs molar amount. But "of moles" is kind of essential. $\endgroup$
    – Poutnik
    Commented Oct 20, 2022 at 7:32
  • $\begingroup$ For readers, Gaussian chains are referred as "ideal gaussian chains (or freely-jointed chains)" in Polymer Scattering Wikipedia page , leading to Ideal Chain $\endgroup$
    – Poutnik
    Commented Oct 20, 2022 at 7:37

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