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ving the formula C_{6}H_{12}O_{6}, namely, glucose, fructose, mannose, and galactose, occur very commonly and widely distributed in plants. In addition to these, thirteen others having the same percentage composition have been artificially prepared, while seven additional forms are theoretically possible. In other words, twenty-four different compounds, all having the same empirical formula and similar sugar-like properties are theoretically possible. In order to arrive at a conception of this multiplicity of isomeric forms, it is necessary to understand the two types of isomerism which are involved. One of these is _structural_ isomerism, and the other is _space_- or _stereo_-isomerism. =Structural Isomerism.=--This refers to an actual difference in the characteristic groups which are present in the molecule. As has been said, all carbohydrates, from the standpoint of the characteristic groups which they contain, are aldehyde-alcohols. The hexoses all contain five alcoholic groups and one primary aldehyde, or one secondary aldehyde (ketone), group. If the aldehyde oxygen is attached to the carbon atom which is at the end of the six-membered chain, the structural arrangement is | that of an aldehyde, C=O and the sugar is of the type known | H as "aldoses"; whereas, if the oxygen is attached to any other | carbon in the chain, the ketone arrangement, C=O results and | the sugar is a "ketose." This difference is illustrated in the Fischer open-chain formulas for glucose (an aldose) and fructose (a ketose) as follows: Glucose Fructose CH_{2}OH CH_{2}OH | | CHOH CHOH | | CHOH CHOH | | CHOH CHOH | | CHOH C=O | | CHO CH_{2}OH =Stereo-isomerism=, or space isomerism, as its name indicates, depends upon the different arrangement of the atoms or groups in the molecule in space, and not upon any difference in the character of the constituent groups. This possibility depends upon the existence
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