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Introduction to modern physics - FSU Physics Department

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Consequences of Planck’s hypothesis<br />

oscilla<strong>to</strong>r energies E = nhf, n = 0,1,…;<br />

• h = 6.626626 10 -34<br />

Js = 4.13 10 -15 eV·s<br />

now called Planck’s constant<br />

• oscilla<strong>to</strong>r’s s energy can only change by<br />

discrete amounts, absorb or emit energy<br />

in small packets –“quanta”;<br />

E quantum = hf<br />

• average energy of oscilla<strong>to</strong>r<br />

= hf/(e x – 1) with x = hf/kT;<br />

for low frequencies get classical result<br />

= kT, k = 1.38 · 10 -23 J·K -1<br />

33

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