Quantum mechanical tunnelling enables chemical reactions to proceed that would be energetically impossible in classical mechanics. Assume that hydrogen (H) and tritium (T) atoms, each with a kinetic energy of 0.9 eV, encounter a potential barrier that is 1.0 eV high and 100 pm broad. Calculate the ratio of probabilities for transmission of the H and T atoms through the barrier. Note: the masses of H and T atoms are 1.674 x 10-27 kg and 5.008 x 10-27 kg, respectively, d 1 1. 603x10-19 I

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Quantum mechanical tunnelling enables chemical reactions to proceed that would be
energetically impossible in classical mechanics. Assume that hydrogen (H) and tritium
(T) atoms, each with a kinetic energy of 0.9 eV, encounter a potential barrier that is 1.0
eV high and 100 pm broad. Calculate the ratio of probabilities for transmission of the H
and T atoms through the barrier.
Note: the masses of H and T atoms are 1.674 x 10-27 kg and 5.008 x 10-27 kg, respectively,
and 1 eV=1.602x10-19 J.
Transcribed Image Text:Quantum mechanical tunnelling enables chemical reactions to proceed that would be energetically impossible in classical mechanics. Assume that hydrogen (H) and tritium (T) atoms, each with a kinetic energy of 0.9 eV, encounter a potential barrier that is 1.0 eV high and 100 pm broad. Calculate the ratio of probabilities for transmission of the H and T atoms through the barrier. Note: the masses of H and T atoms are 1.674 x 10-27 kg and 5.008 x 10-27 kg, respectively, and 1 eV=1.602x10-19 J.
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