1. For an electron in a one-dimensional box of length 10 Å, calculate the following: a) The zero point energy in units of J, eV, and cm'. b) The probability of finding the electron within a distance dL of the center of the box for the first three energy states.
1. For an electron in a one-dimensional box of length 10 Å, calculate the following: a) The zero point energy in units of J, eV, and cm'. b) The probability of finding the electron within a distance dL of the center of the box for the first three energy states.
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![1. For an electron in a one-dimensional box of length 10 Å, calculate the following:
a) The zero point energy in units of J, eV, and cm.
b) The probability of finding the electron within a distance dL of the center of the box for the
first three energy states.
So I got a which is 6.023*1O^-34 then converted them to ev and cm-1
5A is the middle of the box so x is 5 in the bottom equation.
I have the equation sqrt(2/L)sin(n(pi)x/L) so at n =11 got 1225 but it's wrong apparently it's supposed to be 2*10^9 but i dont know how to get
that through the equation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a22bc8f-4761-4c9d-a03e-75c255a5d062%2F1d6582ae-9b10-4e64-aebd-f6bb316efd8c%2Fu3olwv_processed.png&w=3840&q=75)
Transcribed Image Text:1. For an electron in a one-dimensional box of length 10 Å, calculate the following:
a) The zero point energy in units of J, eV, and cm.
b) The probability of finding the electron within a distance dL of the center of the box for the
first three energy states.
So I got a which is 6.023*1O^-34 then converted them to ev and cm-1
5A is the middle of the box so x is 5 in the bottom equation.
I have the equation sqrt(2/L)sin(n(pi)x/L) so at n =11 got 1225 but it's wrong apparently it's supposed to be 2*10^9 but i dont know how to get
that through the equation.
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