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I First hyperpolarizability

  1. Apr 2, 2017 #1
    Hi everybody,

    The tensor of first hyperpolarizability ##\beta_{ijk}## is define as giving the second order or molecular polarization:
    $$\mu_i^{(2)}=\sum_{jk} \, \beta_{ijk} E^j E^k$$

    Now, I saw somewhere that an entity ##\beta_{tot}## can be define as:
    $$\beta_{tot}=\left( (\beta_{xxx}+\beta_{xyy}+\beta_{xzz})^2+(\beta_{yyy}+\beta_{yzz}+\beta_{yxx})^2+(\beta_{zzz}+\beta_{zxx}+\beta_{zyy})^2\right)^{1/2}$$
    What is the physical signification of this magnitude ##\beta_{tot}## ?

    Thank you everybody.

    Konte
     
  2. jcsd
  3. Apr 5, 2017 #2

    PeterDonis

    User Avatar
    2016 Award

    Staff: Mentor

    Where? Please give a specific reference.
     
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