The Map of the Elements
The periodic table is not just a chart; it is a beautifully organized map of the universe's building blocks. When we are asked to find the position of elements with atomic numbers Z=101 and Z=104, we don't need to guess. We just need to read the map!
Let's break down the geography of the periodic table, specifically focusing on the heavyweights at the very bottom.
The Hidden Basement
The f-block
If you look at the standard periodic table, you'll notice two rows pulled out and placed at the bottom. This is the f-block. It consists of two series: the Lanthanoids and the Actinoids.
The Actinoid series is the second row of this basement. It begins with Thorium at Z=90 and stretches all the way across 14 elements, ending with Lawrencium at Z=103.
Knowing this range is an absolute superpower for JEE chemistry!
Placing Element 101
Now, let's look at our first target: Z=101.
Does it fall between 90 and 103? Yes, it does! It sits perfectly within the Actinoid series.
Therefore, element 101 (which is Mendelevium, named after the father of the periodic table himself) is an Actinoid. That was the easy part.
The Leap to the d-block
What happens when we reach Z=103? The f-block is completely full. There is no more room in the 5f subshell.
So, the very next electron for element Z=104 must enter the 6d subshell. This means we are jumping back up into the main body of the periodic table, specifically into the d-block (the transition metals).
But which group does it land in?
Remember that Group 3 is the anchor point for the f-block. Actinium (Z=89) is in Group 3, and then the 14 Actinoids branch off. Once they are done, the sequence resumes in the d-block.
Since Group 3 is already accounted for, the next available slot is Group 4. Therefore, element Z=104 (Rutherfordium) belongs to Group 4.
The Final Verdict
By simply knowing the boundaries of the f-block, we've solved the puzzle.
Element Z=101 is an Actinoid, and element Z=104 belongs to Group 4.
Pro Tip: For elements beyond Z=103, the group number is simply the last two digits of the atomic number! So, Z=104 is Group 4, Z=105 is Group 5, and so on. Keep this trick up your sleeve to save precious seconds in the exam!