Answered: How many d-orbitals can exist at the…

Chemistry: Matter and Change

1st Edition

ISBN:9780078746376

Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom

Publisher:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom

Chapter5: Electrons In The Atom

Section5.3: Electron Configuration

Problem 22PP

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. How many d-orbitals can exist at the second energy level?2. How many d-orbitals can exist at the third energy level?3. How many d-orbitals can exist at the fifth energy level?4. How many f-orbitals can exist at the seventh energy level?6. What is the maximum amount of p-electrons that can occupy can exist at the third energy level?5. What is the maximum amount of p-electrons that can occupy can exist at the tfirstenergy level?

Expert Solution

Step 1

Energy level:- These are the levels where electrons can be found and these lies at specific distance from the nucleus of an atom.

Energy levels in an atom can be upto inifinite in number.
As energy levels are increasing, the energy of electrons goes on increasing as there distance from the nucleus is increasing.

d-orbitals:- These orbitals have shape of like four leaf clover with an exception for $d_{z^{2}}$ , which has donut shape with a lobe above and below.

Angular quantum number(l), if equal to 2, then it corresponds to d-orbital.

The magnetic quantum number(m_l) for d- orbital is 5 and m_l is taken from -l to +l that is from -2 to +2. Therefore, 5 d-orbitals arises from m_l values which are $d x y, d y z, d z x, d_{x^{2} - y 2} a n d d_{z^{2}}$ .
d- orbitals ( $d x y, d y z, d z x, d_{x^{2} - y 2} a n d d_{z^{2}}$ ) exists from 3rd energy level and onwards.

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