Recent content by mamela

  1. M

    Average Energy of Boltzmann Distribution

    Where does the additional term 1/KBT come from? That appears to work but I need to show the average energy is (1/2)KBT.
  2. M

    Average Energy of Boltzmann Distribution

    oops! I mean -2Ab^7/2.b^7/2.KB^-3/2.T^-3/2
  3. M

    Average Energy of Boltzmann Distribution

    I just tried it and ended up with -2Ab7/2
  4. M

    Acoustic and Optical Branches for Waves on a Diatomic Row of Masses

    I understand better the optical and acoustic branches now, thanks. TiPi: I understand that the optical and acoustic branches correspond to different solutions for k, but how can you deduce that cos ka = 1 + ((ka)2/2) if coska is much less than PI/a? Is it correct to say then that the...
  5. M

    Average Energy of Boltzmann Distribution

    The question is: Write an expression for the average energy of a set of particles obeying Boltz- mann statistics and each having energy E = bz2, where b is a constant and z is a variable. Hence, show that the average energy per degree of freedom for each particle is 1 2kBT; where kB is...
  6. M

    Acoustic and Optical Branches for Waves on a Diatomic Row of Masses

    Dispersion Relation: w2=B(1/m+1/M)+-SQRT[(1/m+1/M)2-(4sin2ka/mM)] For waves on a diatomic row of masses, what is the physical meaning of acoustic and optical branches of this dispersion relation? What is the expression for the maximum frequency of the optical branch? Really stuck on...