Final answer:
Options (b) 1d¹, (c) 4s³, and (d) 3p⁷ spectroscopic notations violate the rules of electron configurations, such as the limit of electrons in certain orbitals and the n quantum number minimum for 'd' orbitals.
Step-by-step explanation:
To solve the equation 5d5 = 80d3 for d, we can start by dividing both sides of the equation by d3 :
5d5/d3 = 80d3/d3
Simplifying each side:
5d5−3 =80
5d2=80
Now, isolate d by dividing both sides by 5:
d2 = 80/5
d2 = 16
To find d, take the square root of both sides. However, note that there are two possible solutions, one positive and one negative:
d=± √16
Therefore, d can be either d=4 or d=−4.
Now, let's check which of the following is NOT a factor of d. If the options are numbers, we need to check if 4 or −4 is a factor.
If the options are expressions, we need to check if d is a factor. Please provide the list of options so that I can help you determine which one is NOT a factor.