( ( Because ( ( ( many ( physical properties ) ) ( of matter ) ) ( are ( ( unique functionals ) ( of ( one-particle densities ) ) ) ) ) ) ( , ( ( hypotheses ( on ( ( the nature ) ( of ( ( some interactions ) ( in materials ) ) ) ) ) ) ( ( can ( be ( tested ( by ( ( diffraction ( imaging measurements ) ) ( of ( one-particle ( electron densities ) ) ) ) ) ) ) ) . ) ) ) )
(ROOT (S (SBAR (IN Because) (S (NP (NP (JJ many) (JJ physical) (NNS properties)) (PP (IN of) (NP (NN matter)))) (VP (VBP are) (NP (NP (JJ unique) (NNS functionals)) (PP (IN of) (NP (JJ one-particle) (NNS densities))))))) (, ,) (NP (NP (NNS hypotheses)) (PP (IN on) (NP (NP (DT the) (NN nature)) (PP (IN of) (NP (NP (DT some) (NNS interactions)) (PP (IN in) (NP (NNS materials)))))))) (VP (MD can) (VP (VB be) (VP (VBN tested) (PP (IN by) (NP (NP (JJ diffraction) (NN imaging) (NNS measurements)) (PP (IN of) (NP (JJ one-particle) (NN electron) (NNS densities)))))))) (. .)))
Because many physical properties of matter are unique functionals of one-particle densities, hypotheses on the nature of some interactions in materials can be tested by diffraction imaging measurements of one-particle electron densities.
(ROOT (S (NP (NP (NNP Density)) (PP (IN of) (NP (NN matter)))) (VP (VBZ reflects) (SBAR (WHADVP (WRB how) (RB closely)) (S (VP (VBD packed) (SBAR (S (NP (NP (DT the) (NNS particles)) (PP (IN of) (NP (NN matter)))) (VP (VBP are)))))))) (. .)))