How can I know how many hydrogens are there for each Carbon in bond line notations?
Line notation implies that you should well-know the octet rule and can mentally interconvert between full structures and line notations. Just mentally add a hydrogen until the central carbon has an octet (or 4 single bonds, two single bonds and one double bond, two double bonds, or one single and one triple bond).
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The number of hydrogens is
In bond line notation,
- The carbon atoms and the hydrogen atoms attached to them are not shown.
- Only the bonds between the carbon atoms are shown as lines.
- The vertices and end of lines represent the carbon atoms.
- Any unfilled valences on carbon are assumed to be filled by hydrogen atoms.
- All atoms other than carbon, plus any hydrogen atoms attached to them, are shown.
For example, the bond line notation for propane is
In the above diagram, the vertex and the ends of the lines represent the carbon atoms.
The two end
#"C"# atoms each have one bond to middle#"C"# atom, so the number of hydrogen atoms on them is#4-n = 4-3 = 3# .The middle
#"C"# atom has two bonds going to the other carbons, so it has#4-n = 4-2 = 2# hydrogen atoms.In the above molecule, the three
#"C"# atoms on the right hand side each have one bond to a central carbon. Since#4-n =4-1=3# , they each have 3#"H"# atoms (#"CH"_3# groups).The central
#"C"# atom is bonded to the three methyl groups and to the ring — a total of 4 bonds.#4-n =4-4 =0,# so this carbon has no#"H"# atoms.The ring carbon that is attached to the side chain has 3 bonds, so it has one
#"H"# atom.The remaining four carbons each have two bonds, so they have two
#"H"# atoms (#"CH"_2# ) groups.
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Each carbon in bond line notations is assumed to be tetravalent, meaning it forms four bonds. The number of hydrogens can be determined by subtracting the number of existing bonds from four.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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