Get a SharePoint Site Column's Properties via REST

getfieldproperties.js

( function( $ ) {
  $.ajax({
    url: "http://<site-url>/_api/web/fields/getbytitle('Display Name of Field')",
    type: "GET",
    headers: { "accept": "application/json; odata=verbose" },
    success: successHandler,
    error: errorHandler
  });

  function successHandler( data ) {
    console.log( data );
  }

  function errorHandler( data ) {
    console.log( data );
  }
})( jQuery );