# 2.2.4 The valence shell electron pair repulsion model( VSEPR )

* The two dimensional representations of the Lewis Formulas do not reflect the three-dimensional arrangement of atoms in the molecule. The study of these 3 dimensional shape of a molecule is called Molecular geometry, its important as it determines its properties.

  * Molecular geometry is explored using the VSEPR model
    * Valence
    * Shell
    * Electron
    * Pair
    * Repulsion

  This model is based on a few premises:

1. Electron pairs repel each other and $$\therefore$$arrange themselves as far as possible
2. Lone electrons occupy more space than bonding pairs ( single bond )
3. Double and triple bonds occupy more space than single bonds

A prequisite definition is the term

**Electron domain -->** Region of high electron density due to electron pairs being present

It can be:

1. a non-bonding pair ( lone pairs )
2. bonding pair of electrons ( single pair )&#x20;
3. Double or triple bond ( which involves multiple electrons )

<figure><img src="https://1345459981-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FU8XLVR7CYYLRlgazrP2A%2Fuploads%2F6jWn1DP1QzT07DrSREki%2Fimage.png?alt=media&#x26;token=5c3f5655-0368-494c-9e8b-b9c57afe0f2b" alt=""><figcaption></figcaption></figure>

* Exploring the geometries of molecules involving 2,3,4 electron domains using **VSEPR**.  Predicting the **VSEPR** shape involves two steps:

1. Count the # of electron domains around central atom to deduce electron domain geometry
2. Determine how many are bonding domains and are non-bonding domains

**Two domains: Linear Geometry**

<figure><img src="https://1345459981-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FU8XLVR7CYYLRlgazrP2A%2Fuploads%2F0kgBU9maGqRaNIAHtodz%2Fimage.png?alt=media&#x26;token=476a2f13-0bb5-4241-a4f8-99781c642070" alt=""><figcaption><p>180degrees away from each other as the electron pairs in the domains repel each other</p></figcaption></figure>

&#x20;

* Called Linear to showcase that the bond along with its central atom can be displayed on a straight line
* Molecules with this electron domain geometry also have a linear molecular geometry

<figure><img src="https://1345459981-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FU8XLVR7CYYLRlgazrP2A%2Fuploads%2F4EEzRJnWwhJkpKXQX0HC%2Fimage.png?alt=media&#x26;token=96520b0f-12ec-4c55-8924-0a453643f23a" alt=""><figcaption></figcaption></figure>

**Three domains: Trigonal Planar Geometry**

* 3 bonding domains calls for the pairs to adopt positions 120 degrees away from each other
* This electron domain geometry is called Trigonal planar.
  * Trigonal --> since form a triangle
  * planar --> Since atoms lay flat on a plane ( 2D )&#x20;
* 2 possible molecular geometry&#x20;

  * When all 3 are bonding domains --> trigonal planar molecular geometry
  * when $$\frac{2}{3}$$of domains are bonding domains, molecule has **bent** ( V-shaped ) geometry

<figure><img src="https://1345459981-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FU8XLVR7CYYLRlgazrP2A%2Fuploads%2FO0LUNw3uzCATQismJzko%2Fimage.png?alt=media&#x26;token=b34bb10d-ad6d-4738-9af9-9a3577108b73" alt=""><figcaption></figcaption></figure>

**Four domains: Tetrahedral Geometry**

* pairs adopts  109.5 degrees away from each other
* Called **tetrahedral** because ends of domain form corners of a tetrahedron
  * Domains arrange themselves to maximize bond angles and thus distances between them.

<figure><img src="https://1345459981-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FU8XLVR7CYYLRlgazrP2A%2Fuploads%2FSEyGdavAAzk5hcjP3RBj%2Fimage.png?alt=media&#x26;token=17fffe08-5e67-420c-858e-e482bfa1a4fd" alt=""><figcaption></figcaption></figure>

**3 Molecular geometries**

* All bonding --> Tetrahedral
* $$\frac{3}{4}$$bonding --> trigonal pyramidal
* $$\frac{2}{4}$$bonding --> bent ( V -shaped )&#x20;

<figure><img src="https://1345459981-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FU8XLVR7CYYLRlgazrP2A%2Fuploads%2FIiffXsvIcksP3jG6QBw7%2Fimage.png?alt=media&#x26;token=7273ac7d-fd05-4963-be13-7332b962a48e" alt=""><figcaption></figcaption></figure>

Non-bonding pairs occupy more space which leads to decreased bond angles along with the greater repulsion.

<figure><img src="https://1345459981-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FU8XLVR7CYYLRlgazrP2A%2Fuploads%2F3AjaBt8kJDo4V8GYX2E3%2Fimage.png?alt=media&#x26;token=7d890233-71b6-4928-96a1-65b582dbcb11" alt=""><figcaption></figcaption></figure>

* Wedges --> bonds that are coming out of the plane of the page at an angle
* Dashes --> bonds that are going into the plane of the page

**Multiple Bonds**

**-->** Triple bonds exert more repulsion than a single bond because of the extra electrons, causing values to deviate

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<figure><img src="https://1345459981-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FU8XLVR7CYYLRlgazrP2A%2Fuploads%2FcqLmjMv1fVKz4MSLQFT7%2Fimage.png?alt=media&#x26;token=1eafd073-501c-41d9-8917-26bd16584a92" alt=""><figcaption></figcaption></figure>

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