Problem 96

Question

Scientists have speculated that element 126 might have a moderate stability, allowing it to be synthesized and characterized. Predict what the condensed electron configuration of this element might be.

Step-by-Step Solution

Verified
Answer
The condensed electron configuration of element 126 is [Og] 7p¹⁴.
1Step 1: Determine the order of orbitals filling
The electron orbitals fill up in the following order: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f, 6d, 7p
2Step 2: Fill up orbitals for element 126
Element 126 has 126 electrons. We will fill up the orbitals in the order presented in Step 1. Each electron shell can hold the following number of electrons: - s subshell: 2 electrons - p subshell: 6 electrons - d subshell: 10 electrons - f subshell: 14 electrons We can now fill up the orbitals: 1s² (2), 2s² (4), 2p⁶ (10), 3s² (12), 3p⁶ (18), 4s² (20), 3d¹⁰ (30), 4p⁶ (36), 5s² (38), 4d¹⁰ (48), 5p⁶ (54), 6s² (56), 4f¹⁴ (70), 5d¹⁰ (80), 6p⁶ (86), 7s² (88), 5f¹⁴ (102), 6d¹⁰ (112), 7p¹⁴ (126)
3Step 3: Finding the condensed electron configuration
To simplify the electron configuration, we look for the nearest noble gas with an atomic number less than the element. In this case, it is element 118 (Og). We can write the condensed electron configuration by replacing everything before the 7p subshell with [Og]: [Og] 7p¹⁴ The condensed electron configuration of element 126 is [Og] 7p¹⁴.