(a) How does the structure of diborane $\left(\mathrm{B}_{2} \mathrm{H}_{6}\right)\( differ from that of ethane \)\left(\mathrm{C}_{2} \mathrm{H}_{6}\right) ?$ (b) Explain why diborane adopts the geometry that it does. (c) What is the significance of the statement that the hydrogen atoms in diborane are described as "hydridic"?

Short Answer

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(a) Diborane has a more complex structure than ethane, with boron atoms connected by a bridging hydrogen atom forming a 3-center-2-electron (3C-2E) bond and two other hydrogen atoms connected to each boron atom. Diborane has a trigonal planar arrangement around each boron atom with bond angles of roughly 120 degrees, while ethane has a tetrahedral arrangement with bond angles of 109.5 degrees. (b) The geometry of diborane arises due to the electronic configuration of boron, which can accommodate only 6 electrons in its valence shell. The formation of 3C-2E bonds with bridging hydrogen atoms allows each boron atom to achieve an electron count of six. The trigonal planar arrangement around each boron atom minimizes electron pair repulsion. (c) In diborane, the term "hydridic" refers to the behavior of hydrogen atoms participating in the 3C-2E bonds, as they donate their lone pair of electrons to bond with boron atoms, acquiring a partial negative charge similar to that of a hydride ion (H-).

Step by step solution

01

Comparing the structures of diborane and ethane

Ethane, C2H6, has a simple structure with each carbon atom bonded to 3 hydrogen atoms and the two carbon atoms connected by a single bond. This arrangement gives each carbon atom a tetrahedral arrangement with bond angles of 109.5 degrees. Diborane, B2H6, has a more complex structure. It consists of two boron atoms with a bridging hydrogen atom between them and two other hydrogen atoms connected to each boron atom. The boron-hydrogen-boron bridge is represented by the 3-center-2-electron (3C-2E) bond formed by the sharing of two electrons between three atoms. This type of bond is called a 'banana bond' in diborane. In contrast to ethane, diborane has a trigonal planar arrangement around each boron atom with bond angles of roughly 120 degrees.
02

Explaining the geometry of diborane

The geometry of diborane is the result of the electronic configuration of boron. Boron has three valence electrons, so it can form three single bonds, but it can only accommodate 6 electrons in its valence shell. In diborane, each boron atom forms a single bond with two terminal hydrogen atoms, which contributes two bonding pairs of electrons (4 electrons). To complete the octet rule, the bridging hydrogen atom must share its two electrons with both boron atoms simultaneously, forming the 3C-2E bond. This arrangement enables each boron atom to achieve an electron count of six. The trigonal planar arrangement around each boron atom minimizes electron pair repulsion, leading to the observed geometry of diborane.
03

Understanding the term "hydridic"

In the context of diborane, the term "hydridic" refers to the behavior of hydrogen atoms participating in the 3C-2E bonds. In these bonds, hydrogen behaves as a hydride ion (H-) because it donates its lone pair of electrons to the bonding interaction with the two boron atoms. This donation of the electron pair leads to a partial negative charge on the hydrogen atom, resembling the negative charge on a hydride ion. In summary, diborane has a different structure from ethane due to the electronic configuration of boron, which leads to the formation of 3C-2E bonds. The hydrogen atoms involved in these bonds are described as "hydridic" because they participate in bonding by donating their lone pair of electrons, acquiring a partial negative charge.

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