ω [1012 rad/s]
The atomic density is taken to be 5.86×1028 m-3. Each atom has three degrees of freedom so the integral over all frequencies is 3×5.86×1028 m-3. The data is from doi: 10.1007/b19988.
T = 296 K
ω [rad/s] D(ω) [s rad-1m-3] 0.0000 0.0000 5.7327e+10 6.8161e+12 4.0123e+11 2.3856e+13 7.4510e+11 3.0672e+13 1.0890e+12 3.4080e+13 1.4233e+12 4.0897e+13 1.7624e+12 5.1121e+13 2.0967e+12 5.7937e+13 2.4120e+12 7.4977e+13 2.7177e+12 1.2610e+14 3.0379e+12 1.8744e+14 3.3723e+12 2.3516e+14 3.7163e+12 2.7264e+14 4.0554e+12 3.1695e+14 4.3946e+12 3.6807e+14 4.7291e+12 4.2601e+14 5.0588e+12 4.9076e+14 5.3933e+12 5.5211e+14 5.7277e+12 6.1686e+14 6.0575e+12 6.8843e+14 6.3776e+12 7.7022e+14 6.6979e+12 8.6224e+14 7.0181e+12 9.5425e+14 7.3383e+12 1.0531e+15 7.6490e+12 1.1553e+15 7.9597e+12 1.2610e+15 8.2608e+12 1.3769e+15 8.5525e+12 1.5030e+15 8.8394e+12 1.6325e+15 9.1263e+12 1.7688e+15 9.3988e+12 1.9153e+15 9.6667e+12 2.0687e+15 9.9250e+12 2.2289e+15 1.0174e+13 2.3959e+15 1.0408e+13 2.5731e+15 1.0633e+13 2.7537e+15 1.0863e+13 2.9343e+15 1.1097e+13 3.1149e+15 1.1313e+13 3.3058e+15 1.1509e+13 3.5069e+15 1.1701e+13 3.7114e+15 1.1883e+13 3.9193e+15 1.2031e+13 4.1544e+15 1.2223e+13 4.3487e+15 1.2429e+13 4.5498e+15 1.2587e+13 4.7679e+15 1.2726e+13 4.9928e+15 1.2860e+13 5.2211e+15 1.2985e+13 5.4495e+15 1.3100e+13 5.6812e+15 1.3220e+13 5.9130e+15 1.3335e+13 6.1413e+15 1.3436e+13 6.3765e+15 1.3518e+13 6.6150e+15 1.3595e+13 6.8536e+15 1.3677e+13 7.0922e+15 1.3754e+13 7.3307e+15 1.3821e+13 7.5727e+15 1.3874e+13 7.8147e+15 1.3928e+13 8.0566e+15 1.3990e+13 8.2986e+15 1.4053e+13 8.5406e+15 1.4102e+13 8.7826e+15 1.4136e+13 9.0279e+15 1.4170e+13 9.2699e+15 1.4208e+13 9.5119e+15 1.4214e+13 9.7573e+15 1.4267e+13 1.0003e+16 1.4340e+13 1.0398e+16 1.4822e+13 1.0425e+16 1.5166e+13 1.0425e+16 1.5519e+13 1.0418e+16 1.5868e+13 1.0425e+16 1.6207e+13 1.0435e+16 1.6551e+13 1.0439e+16 1.6895e+13 1.0442e+16 1.7239e+13 1.0453e+16 1.7583e+13 1.0470e+16 1.7926e+13 1.0480e+16 1.8270e+13 1.0483e+16 1.8614e+13 1.0487e+16 1.8958e+13 1.0483e+16 1.9302e+13 1.0480e+16 1.9646e+13 1.0483e+16 1.9990e+13 1.0483e+16 2.0329e+13 1.0453e+16 2.0366e+13 1.0156e+16 2.0399e+13 9.9140e+15 2.0460e+13 9.6721e+15 2.0541e+13 9.4369e+15 2.0636e+13 9.2018e+15 2.0736e+13 8.9666e+15 2.0835e+13 8.7314e+15 2.0949e+13 8.4997e+15 2.1078e+13 8.2747e+15 2.1220e+13 8.0532e+15 2.1363e+13 7.8317e+15 2.1501e+13 7.6034e+15 2.1639e+13 7.3614e+15 2.1681e+13 7.2080e+15 2.1887e+13 7.2285e+15 2.2183e+13 7.1228e+15 2.2502e+13 7.0308e+15 2.2822e+13 6.9320e+15 2.3123e+13 6.8127e+15 2.3404e+13 6.6764e+15 2.3676e+13 6.5298e+15 2.3943e+13 6.3765e+15 2.4200e+13 6.2129e+15 2.4420e+13 6.0254e+15 2.4586e+13 5.8073e+15 2.4772e+13 5.6267e+15 2.5029e+13 5.4290e+15 2.5244e+13 5.1837e+15 2.5372e+13 5.0610e+15 2.5477e+13 4.8838e+15 2.5658e+13 4.6861e+15 2.5782e+13 4.4475e+15 2.5905e+13 4.2192e+15 2.6029e+13 3.9908e+15 2.6143e+13 3.7557e+15 2.6262e+13 3.5239e+15 2.6399e+13 3.2990e+15 2.6534e+13 3.5273e+15 2.6620e+13 3.7659e+15 2.6692e+13 4.0079e+15 2.6755e+13 4.2464e+15 2.6813e+13 4.4884e+15 2.6871e+13 4.7304e+15 2.6934e+13 4.9723e+15 2.6992e+13 5.2143e+15 2.7016e+13 5.4597e+15 2.7065e+13 5.7017e+15 2.7069e+13 5.5756e+15 2.7108e+13 5.9436e+15 2.7142e+13 6.1890e+15 2.7176e+13 6.4344e+15 2.7220e+13 6.6764e+15 2.7264e+13 6.9183e+15 2.7298e+13 7.1637e+15 2.7327e+13 7.4057e+15 2.7356e+13 7.6477e+15 2.7386e+13 7.8931e+15 2.7410e+13 8.1350e+15 2.7434e+13 8.3804e+15 2.7459e+13 8.6258e+15 2.7474e+13 8.8712e+15 2.7489e+13 9.1131e+15 2.7499e+13 9.3585e+15 2.7514e+13 9.6039e+15 2.7553e+13 1.0091e+16 2.7558e+13 9.8459e+15 2.7568e+13 1.0337e+16 2.7626e+13 1.0575e+16 2.7718e+13 1.0810e+16 2.7819e+13 1.1046e+16 2.7910e+13 1.1284e+16 2.7992e+13 1.1523e+16 2.8078e+13 1.1761e+16 2.8165e+13 1.2000e+16 2.8256e+13 1.2235e+16 2.8343e+13 1.2474e+16 2.8429e+13 1.2709e+16 2.8526e+13 1.2947e+16 2.8626e+13 1.3182e+16 2.8722e+13 1.3418e+16 2.8809e+13 1.3656e+16 2.8886e+13 1.3895e+16 2.8958e+13 1.4143e+16 2.9026e+13 1.4396e+16 2.9165e+13 1.4604e+16 2.9309e+13 1.4938e+16 2.9405e+13 1.5258e+16 2.9442e+13 1.4535e+16 2.9453e+13 1.3308e+16 2.9454e+13 1.3554e+16 2.9454e+13 1.3799e+16 2.9455e+13 1.4045e+16 2.9455e+13 1.4290e+16 2.9462e+13 1.3063e+16 2.9480e+13 1.2821e+16 2.9504e+13 1.2576e+16 2.9527e+13 1.2330e+16 2.9545e+13 1.2088e+16 2.9568e+13 1.1843e+16 2.9592e+13 1.1601e+16 2.9620e+13 1.1356e+16 2.9643e+13 1.1114e+16 2.9671e+13 1.0868e+16 2.9699e+13 1.0626e+16 2.9727e+13 1.0384e+16 2.9755e+13 1.0139e+16 2.9783e+13 9.8970e+15 2.9826e+13 9.6550e+15 2.9868e+13 9.4130e+15 2.9906e+13 9.1677e+15 2.9953e+13 8.9257e+15 3.0009e+13 8.6837e+15 3.0061e+13 8.4417e+15 3.0118e+13 8.1998e+15 3.0165e+13 7.9578e+15 3.0208e+13 7.7158e+15 3.0259e+13 7.4739e+15 3.0311e+13 7.2319e+15 3.0373e+13 6.9899e+15 3.0429e+13 6.7479e+15 3.0481e+13 6.5060e+15 3.0533e+13 6.2640e+15 3.0585e+13 6.0220e+15 3.0637e+13 5.7801e+15 3.0689e+13 5.5381e+15 3.0741e+13 5.2961e+15 3.0788e+13 5.0541e+15 3.0840e+13 4.8122e+15 3.0897e+13 4.5702e+15 3.0949e+13 4.3282e+15 3.1000e+13 4.0862e+15 3.1052e+13 3.8443e+15 3.1100e+13 3.6023e+15 3.1142e+13 3.3604e+15 3.1199e+13 3.1184e+15 3.1265e+13 2.8798e+15 3.1326e+13 2.6412e+15 3.1369e+13 2.3993e+15 3.1406e+13 2.1573e+15 3.1463e+13 1.9153e+15 3.1520e+13 1.6734e+15 3.1581e+13 1.4382e+15 3.1652e+13 1.1996e+15 3.1709e+13 9.5766e+14 3.1746e+13 7.1228e+14 3.1784e+13 4.6690e+14 3.1850e+13 2.3516e+14 3.1893e+13 3.0672e+13