Question

help me sketch and explain this function

Answer 1

The time dependent wav function of the electron in the Hydrogen atom (corresponding t the 1s orbital), is:
\[\psi _{1s} (r,t)=Ce^{\frac{-r}{a_{0}}}e^{\frac{it}{t_{0}}}\]
where r is the distance between the electron and the nucleus, t is time, while C a0 and t0 are real positive constants. The electron density of the orbital is determined by
\[|\psi_{1s}|^{2}\]
show that
\[|\psi_{1s}|^{2}\]
is independent of time and sketch a plot of
\[|\psi_{1s}|^{2}\]
as a function of r.

Answer 2

http://www.umich.edu/~chem461/QMChap7.pdf

Answer 3

that will help alot!

Answer 4

unfortunately it will not help me because that is high informative of orbitals, wave functions, amplitudes, nodes etc. This touches more on the subject of mathematics for physical chemistry.

Answer 5

actually if u read it your answer is in the 1st and second page

Answer 6

I believe this plot should be 3d since there is a function in relation to two things instead of one example:

Answer 7

looks like u can figure it out on your own

Answer 8

give me a quote because I don't see what you are referring to

Answer 9

i don't want to give the answer away so no i cannot But here is A Better Suggestion TRY GOOGLE!

Answer 10

I've fully read what you said to read you can't be more specific? If google gave a sufficient explanation i wouldn't be here.

Answer 11

TIME NEGATIVE ? YOU GOTTA GIVE A REASON FOR THAT

Answer 12

oh yeah I didn't mean to draw that, just trying to make the point of a 3D plot

Answer 13

AND YOU HAVE DRAWN WAVE FUNCTION LINEAR , IS IT LINEAR ? CAN IT BE PROPORTIONAL ? I MEAN IT TELLS THE POSSIBILITY OF FINDING ELECTRON RIGHT

Answer 14

look i know what the wave function of hydrogen's orbitals look like. its basically representations of a node and two lobes of amplitude. i'm trying to figure out way to mathematically represent this by the complex function i have been given with a sketch. I already know that time is pretty much pointless here but i should have some representation of why. also there are imaginary numbers so that means i need to include an imaginary plane.

Answer 15

I didn't draw a function yet.

Answer 16

ITS TRUE YOU GONNA NEED 3D , BUT I AM TRYING TO RELATE IT WITH R