Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
Linear ionic crystal. Consider a line of 2N ions of alternating charge ±q with a repulsive potential energy A/R" between nearest neighbors. (a) Show that at the equilibrium separation 2Nq² In 2/ (CGS) U(R,) = %3D - Ro (b) Let the crystal be compressed so that Ro→ R,(1 – 8). Show that the work done in compressing a unit length of the crystal has the leading term C8², where (CGS) (n – 1)q² In 2 C = Ro To obtain the results in SI, replace q by q*/4TTE9. Note: We should not expect to ob- tain this result from the expression for U(Ro), but we must use the complete expres-

Linear ionic crystal. Consider a line of 2N ions of alternating charge ±q with a repulsive potential energy A/R" between nearest neighbors. (a) Show that at the equilibrium separation 2Nq² In 2/ (CGS) U(R,) = %3D - Ro (b) Let the crystal be compressed so that Ro→ R,(1 – 8). Show that the work done in compressing a unit length of the crystal has the leading term C8², where (CGS) (n – 1)q² In 2 C = Ro To obtain the results in SI, replace q by q*/4TTE9. Note: We should not expect to ob- tain this result from the expression for U(Ro), but we must use the complete expres-

icon
Related questions
Question
Linear ionic crystal. Consider a line of 2N ions of alternating charge ±q with a repulsive potential energy A/R" between nearest neighbors. (a) Show that at the equilibrium separation 2Nq² In 2/ (CGS) U(R,) = %3D - Ro (b) Let the crystal be compressed so that Ro→ R,(1 – 8). Show that the work done in compressing a unit length of the crystal has the leading term C8², where (CGS) (n – 1)q² In 2 C = Ro To obtain the results in SI, replace q by q*/4TTE9. Note: We should not expect to ob- tain this result from the expression for U(Ro), but we must use the complete expres-
Transcribed Image Text:Linear ionic crystal. Consider a line of 2N ions of alternating charge ±q with a repulsive potential energy A/R" between nearest neighbors. (a) Show that at the equilibrium separation 2Nq² In 2/ (CGS) U(R,) = %3D - Ro (b) Let the crystal be compressed so that Ro→ R,(1 – 8). Show that the work done in compressing a unit length of the crystal has the leading term C8², where (CGS) (n – 1)q² In 2 C = Ro To obtain the results in SI, replace q by q*/4TTE9. Note: We should not expect to ob- tain this result from the expression for U(Ro), but we must use the complete expres-
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 10 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer