There is a minimum energy of (.5[hbar][omega]) in any vibrating system; this energy is sometimes known as the zero-point motion. (a) Use an argument based on the uncertainty principle to explain why the vibrating system can never have E=0. (b) The hydrogen molecule H2 can be treated as a vibrating system, with an effective force constant k=3.5 x 103 eV/nm2. Compute the zero-point energy of one of the protons in H2. How does it compare with the molecular binding energy of 4.5 eV? (c) Compute the amplitude of the zero-point motion and compare with the atomic spacing of 0.074 nm
There is a minimum energy of (.5[hbar][omega]) in any vibrating system; this energy is sometimes known as the zero-point motion. (a) Use an argument based on the uncertainty principle to explain why the vibrating system can never have E=0. (b) The hydrogen molecule H2 can be treated as a vibrating system, with an effective force constant k=3.5 x 103 eV/nm2. Compute the zero-point energy of one of the protons in H2. How does it compare with the molecular binding energy of 4.5 eV? (c) Compute the amplitude of the zero-point motion and compare with the atomic spacing of 0.074 nm
Related questions
Question
There is a minimum energy of (.5[hbar][omega]) in any vibrating system; this energy is sometimes known as the zero-point motion. (a) Use an argument based on the uncertainty principle to explain why the vibrating system can never have E=0. (b) The hydrogen molecule H2 can be treated as a vibrating system, with an effective force constant k=3.5 x 103 eV/nm2. Compute the zero-point energy of one of the protons in H2. How does it compare with the molecular binding energy of 4.5 eV? (c) Compute the amplitude of the zero-point motion and compare with the atomic spacing of 0.074 nm
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 5 images
