I have only read this first of your five references and only it to page 589, but want to post a quote (in blue)from that page (and then make a few comments):
"A very large number of additional excellent and detailed papers have appeared which present evidence for the presence of specific molecular arrangements. An interesting cluster of these appeared recently in Science. Miyazaki et al. (Science, May 21, 2004) show infrared spectroscopic evidence for oligomers of different shape and sizes from n=4-27 in (H2O)n [41]. Shin et al. (May 21, 2004) present intriguing IR data near the 3.7μ O-H stretching band in oligomers from 6-27, around the “magic number” of n=21 [42]. From neither of these papers can one tell whether the authors believe that water—all waters under undelimited conditions—contain 100% of these molecules, or a majority. Nor is there any comment on how such clusters are distributed in space, or whether different size clusters are themselves formed into separate regions of the nano-heterogeneous bulk water. Some six months later, the October 22 and October 29 issues of Science carry several
exquisitely detailed papers on water from senior authors. They discuss the energetics and dynamics of electron binding and transport in various cluster sizes, some of it in vapor samples. These processes are extremely rapid in the tens of femtoseconds. The papers do not consider any models with a distribution of cluster sizes, nor do they show how reproducible the data are with different water samples, even allegedly ‘pure’ ones, or prepared by different means...."
For more than 30 years I have known water is not just a collection of H2O molecules kinetically bouncing off each other in a dense liquid. I have also understood why the dielectric constant of water is so unusually large (80 for DC as I recall). Until Nancy directed my attention to some of this literature, I had assumed that water was really (H2O)n -a collection of short chains (with the distribution favoring larger n as the temperature decreased)
All of this is due to the fact that both hydrogens are on one side of the oxygen atom (a triangle with 105 degrees at the O atom and 75/2 at each of the hydrogens.) I.e. each molecule of H2O has a permanent electric dipole. It would not if it were arranged in a straight line like H-O-H. To represent the dipole water I will use (+W-). Thus >30 years ago it was obvious to me that real water was a collection of "super molecules" like:
(+W-)(+W-)(+W-)(+W-)(+W-)(+W-)(+W-)(+W-)
and
(+W-)(+W-)(+W-)
and
(+W-)(+W-)(+W-)(+W-) etc. but surely the longer ones were not straight as illustrated above. I feel a little stupid that it is only now that I realize that the longer ones can loop back on themselves, like a snake eating it own tail. If I had ever had occasion before today to actually draw the first of the three illustrated above, I am sure I would have realized this long ago also.
If one had a large set of small thin strong magnets and with epoxy made joined them together pair-wise, always with the "N end" touching (to represent the O atom) and the "S end" separated to form 105,37&38 degree triangles (representing H2O molecules) one could do some interesting experiments.
Of course the "O end" of the water analog could be the epoxy joined S ends. Also it would be convenient and cheap to use short pieces of magnetic wire to make the water analogs and one would need several thousand of them to do any really interesting experiments.
These experiments would mainly be to place all the "water analogs" in a box and shake it with various degrees of vigor (corresponding to different temperatures). Sudden termination of the shaking followed by careful inspection of the structures that have formed is one experiment. Another is to slowly diminish the amplitude of the shaking while it continues - here very interesting would be to see if the volume of the mass in the box is increased as the "analogue ice" is formed. Perhaps the way to approach this problem /question is to have a floating Styrofoam lid* covering the mass while shaking and lines (of different colors adjacent) on the inside of the box and video record which are visible while the shaking is still vigorous. The volume of the mass when shaking has stopped could then be computed to the computed volume when shaking was vigorous.
I am suggesting this as a physics experiment -It alone shows nothing about Homeopathic medicine’s claims, which I tend to doubt. However, those doubting those claims because water is "only a bunch of H2O water molecules" are very ignorant of how complex water is.
The text I quoted at start suggest that real water can be (and has been) investigated by careful observation of its electrically conductivity. (I suspect that any variations observed not due to temperature may be due to very slight contamination, but if contamination can be avoided, then "homeopathic water" should have some differences in the conductivity as the postulated structures are presumed to be different. I suspect that much stronger difference than in the electrical conductivity would be observed in the conduction and SCATTERING of ultra short sound waves.
I do not have convenient access in Brazil to the Science papers cited in the quoted reference, but would realy try to read any studies that have looked at ultra sound waves thru water. I suspect that if there are stable structures in "homeopathic water" that are not present in normal water, then they would be very different scatters and also that a small amount of atomic impurities would have very little effect upon the scattering of sound waves with wavelengths which in some way "resonate" with these structures. Surely someone has thought of and done these ultra sound scattering experiments - does anyone have a reference?
------------
*This plane lid would also make the analogy more complete as water does effectively have a "gravitational lid" that keeps it upper surface flat. Without this lid, I suspect the top surface of the "analogue water" would be far from flat.
PS despite being retired, I am very busy and thus may not have time to follow the literature you are suggesting be read. I also am more interested in other subjects active here, especially economics, and post more in them. I try to correct clear non-sense I see posted when I can. Homeopathic ideas are not IMHO quite "clear nonsense" but I think they need many more tests and demonstration before I would accept them. Certainly if I had a ruptured appendix, I would want a surgen, not some homeopatic water.