5
4
6
2
What is Hückel's Rule?
Hückel's rule tells us if a compound is aromatic (special and stable). It must:
- Be a ring (cyclic).
- Have alternating double bonds (conjugated).
- Be flat (planar).
- Have 4n + 2 π electrons (like 2, 6, 10, etc., where n = 0, 1, 2...).
Checking Each Option
i) Two fused benzene rings: This is naphthalene. It has 10 π electrons (4n + 2, n = 2) and is flat. Obeys Hückel's rule. -
ii) Five-membered ring with O: This is furan. It has 6 π electrons (4 from the ring + 2 from oxygen’s lone pair, n = 1) and is flat. Obeys Hückel's rule.
iii) Two parallel lines: This is not a ring, so it can’t be aromatic. Does not obey Hückel's rule.
iv) Triangle with a + charge: This is the cyclopropenyl cation. It has 2 π electrons (n = 0) and is flat. Obeys Hückel's rule.
v) Triangle with a - charge: This is the cyclopropenyl anion. It has 4 π electrons (doesn’t fit 4n + 2). Does not obey Hückel's rule.
vi) Seven-membered ring: This is cycloheptatriene. It has 6 π electrons (n = 1), but it’s not flat because of the CH₂ group. Does not obey Hückel's rule.
vii) Three fused benzene-like rings: This is anthracene. It has 14 π electrons (4n + 2, n = 3) and is flat. Obeys Hückel's rule.
Final Count
The compounds that obey Hückel's rule are i, ii, iv, and vii. That’s 4 compounds.
A bob of heavy mass \(m\) is suspended by a light string of length \(l\). The bob is given a horizontal velocity \(v_0\) as shown in figure. If the string gets slack at some point P making an angle \( \theta \) from the horizontal, the ratio of the speed \(v\) of the bob at point P to its initial speed \(v_0\) is :
Such a group of atoms is called a molecule. Obviously, there must be some force that holds these constituent atoms together in the molecules. The attractive force which holds various constituents (atoms, ions, etc.) together in different chemical species is called a chemical bond.
There are 4 types of chemical bonds which are formed by atoms or molecules to yield compounds.