Correlating density and melting point in alkenes

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Cis and trans 1,2-dichloroethenes exhibit distinct physical properties, with cis having a higher density but a lower melting point compared to trans. This discrepancy cannot be adequately explained by packing arguments. Similar trends are observed in other 1,2 disubstituted ethenes. The discussion highlights that while boiling points align with expectations—where the more polar cis is higher due to its dipole moment—the dipole moment does not account for the lower melting point and higher density of the cis isomer. This indicates a complex interplay of molecular interactions that requires further exploration.
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Quoted data for cis and trans 1,2 dichloroethenes shows cis has higher density but lower melting point than trans. How can this be explained? Packing arguments are clearly unable to rationalise these observations. Other 1,2 disubstituted ethenes show similar pattern. Thank you.
 
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This homework ? What other property differs strongly ?
 
Boiling points differ as expected - the more polar molecule (cis) is higher
 
Yes, dipole moment is the key.
 
Dipole moment explains boiling point but not the contrary melting point and density trend!
 
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