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Homeopathic dilutions

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457:", according to which water "remembers" the substances mixed in it, and transmits the effect of those substances when consumed. This concept is inconsistent with the current understanding of matter, and water memory has never been demonstrated to have any detectable effect, biological or otherwise. The claim often given to support "water memory" is that science does not fully understand water. In fact a great deal is known about the structure and properties of liquid water, from both theoretical and experimental studies, because of its importance in biochemistry, its relative molecular simplicity and the quantum mechanical nature of hydrogen bonding which make it a popular substance to study in theoretical chemistry. The actual memory of water can be measured experimentally and is found to be around 50 105:– was necessary. It has been said that Hahnemann came to this conclusion after deciding preparations subjected to agitation in transit, such as in saddle bags or in a carriage, were more "potent". Hahnemann had a saddle-maker construct a special wooden striking board covered in leather on one side and stuffed with horsehair. The process of dilution and succussion is termed "dynamization" or "potentization" by homeopaths. In industrial manufacture this may be done by machine. There are differences of opinion on the number and force of strikes, and some practitioners dispute the need for succussion at all. There are no laboratory assays and the importance and techniques for succussion cannot be determined with any certainty from the literature. 114: 356:
may also be used. In the Korsakovian method the vessel in which the preparations are manufactured is emptied, refilled with solvent, with the volume of fluid adhering to the walls of the vessel deemed sufficient for the new batch. The Korsakovian method is sometimes referred to as K on the label of a homeopathic preparation. Another method is Fluxion, which dilutes the substance by continuously passing water through the vial. Insoluble solids, such as
175:. In the last ten years of his life, Hahnemann also developed a quintamillesimal (Q) or LM scale diluting the drug 1 part in 50,000 parts of diluent. A given dilution on the Q scale is roughly 2.35 times its designation on the C scale. For example, a preparation described as "20Q" has about the same concentration as one described with "47C". 139:
A 2C dilution requires a substance to be diluted to one part in one hundred, and then some of that diluted solution diluted by a further factor of one hundred. This works out to one part of the original substance in 10,000 parts of the solution. A 6C dilution repeats this process six times, ending up
135:
dilution scales are in regular use in homeopathy. Hahnemann created the "centesimal" or "C scale", diluting a substance by a factor of 100 at each stage. There is also a decimal dilution scale (notated as "X" or "D") in which the preparation is diluted by a factor of 10 at each stage. The centesimal
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Homeopathic dilutions beyond this limit (equivalent to approximately 12C) are unlikely to contain even a single molecule of the original substance and lower dilutions contain no detectable amount. ISO 3696 (Water for analytical laboratory use) specifies a purity of ten parts per billion, or 10×10 ―
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of a solution results, after each dilution step, in fewer molecules of the original substance per litre of solution. Eventually, a solution will be diluted beyond any likelihood of finding a single molecule of the original substance in a litre of the total dilution product. The "Korsakovian" method
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The following table is a synopsis comparing the X and C dilution scales and equating them by equivalent dilution. However, the homeopathic understanding of its principles is not explained by dilution but by "potentisation", hence one can not assume that the different potencies can be equated on the
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Some homeopaths developed a decimal scale (D or X), diluting the substance to ten times its original volume each stage. The D or X scale dilution is therefore half that of the same value of the C scale; for example, "12X" is the same level of dilution as "6C". Hahnemann never used this scale but it
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Potencies of 1000C and above are usually labelled with Roman numeral M and with the centesimal 'C' indicator implied (since all such high potencies are centesimal dilutions): 1M = 1000C; 10M = 10,000C; CM = 100,000C; LM (which would indicate 50,000C) is typically not used because of confusion with
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Hahnemann advocated 30C dilutions for most purposes (that is, dilution by a factor of 10). Hahnemann regularly used dilutions up to 300C but opined that "there must be a limit to the matter". In Hahnemann's time it was reasonable to assume that preparations could be diluted indefinitely, as the
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Homeopaths maintain that this water retains some "essential property" of the original material, because the preparation has been shaken after each dilution. Hahnemann believed that the dynamisation or shaking of the solution caused a "spirit-like" healing force to be released from within the
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Not all homeopaths advocate extremely high dilutions. Many of the early homeopaths were originally doctors and generally used lower dilutions such as "3X" or "6X", rarely going beyond "12X"; these dilution ("trituration") levels were still popular in the late 20th century with advocates of
100:
found that undiluted doses caused reactions, sometimes dangerous ones, so specified that preparations be given at the lowest possible dose. To counter the reduced potency at high dilutions he formed the view that vigorous shaking by striking on an elastic surface – a process termed
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in homeopathy) is the equivalent of dissolving 0.36 mL of table salt, weighing about 0.77 g, into a volume of water the size of the Atlantic Ocean, since the volume of the Atlantic Ocean and its adjacent seas is 3.55×10 km or 3.55×10 L :
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Another illustration of dilutions used in common homeopathic preparations involves comparing a homeopathic dilution to dissolving the therapeutic substance in a swimming pool. There are on the order of 10 molecules of water in an
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Dilution advocated by Hahnemann for most purposes: on average, this would require giving two billion doses per second to six billion people for 4 billion years to deliver a single molecule of the original material to any patient.
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substance. Even though the homeopathic preparations are often extremely diluted, homeopaths maintain that a healing force is retained by these homeopathic preparations. Modern advocates of homeopathy have proposed a concept of "
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and if such a pool were filled entirely with a 15C homeopathic preparation, to have a 63% chance of consuming at least one molecule of the original substance, one would need to swallow 1% of the volume of such a pool, or roughly
68:(1755–1843), asserted that the process of succussion activated the "vital energy" of the diluted substance, and that successive dilutions increased the "potency" of the preparation, although other strands of homeopathy (such as 160:
was just beginning to be recognized. It is now known that the greatest dilution that is reasonably likely to contain one molecule of the original substance is 12C, if starting from 1 mole of original substance (see
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because, at commonly used dilutions, no molecules of the original material are likely to remain. Therefore high homeopathic dilutions must be distinguished from low dilutions where there can be an overlap with
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interpretation of disease. Some products with both low and high dilutions continue to be sold, but like their counterparts, they have not been conclusively demonstrated to have any effect when tested against
465:, claims to have demonstrated that water can be energetically imprinted upon. Another such study, published in 2003 by Swiss chemist Louis Rey, claims to have found that homeopathically diluted solutions of 1864: 144:, and more dilute substances are considered by homeopaths to be stronger and deeper-acting. The end product is often so diluted that it is indistinguishable from the dilutant (typically 428:, a dilution of one molecule in the observable universe would be about 40C. Oscillococcinum would thus require 10 times more atoms to simply have one molecule in the final substance. 380:
If one begins with a solution of 1 mol/L of a substance, the dilution required to reduce the number of molecules to less than one per litre is 1 part in 1×10 (24X or 12C) since:
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with the original material diluted by a factor of 100=10. Higher dilutions follow the same pattern. In homeopathy, a solution that is more dilute is described as having a higher
461:, which is 0.00000000000005 seconds. Generally considered to be pseudoscience by the scientific community, one disputed study into the so-called memory of water, conducted by 136:
scale was favoured by Hahnemann for most of his life, although in his last ten years Hahnemann developed a quintamillesimal (Q) scale which diluted the drug 1 part in 50,000.
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An example given states that a 12C solution is equivalent to a "pinch of salt in both the North and South Atlantic Oceans", which is approximately correct. One-third of a
171:
was very popular throughout the 19th century and still is in Europe. This potency scale appears to have been introduced in the 1830s by the American homeopath
1838: 490:'s 12 biochemic tissue salts, for example. The split between lower and higher dilutions followed ideological lines. Those favoring low dilutions stressed 1396: 1380: 2005: 2168: 1874: 1359: 1290: 1250: 1190: 1030: 993: 736: 711: 682: 642: 535: 1444: 894: 1939: 941: 1046: 1895: 1429: 392:
this water cannot be kept in glass or plastic containers as they leach impurities into the water, and glassware must be washed with
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The high dilutions characteristically used are often considered to be the most controversial and implausible aspect of homeopathy.
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Cowan, M. L.; et al. (2005), "Ultrafast memory loss and energy redistribution in the hydrogen bond network of liquid H2O",
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of some original substance diluted into all the water on earth would produce a preparation with a concentration of about 13C.
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Critics and advocates of homeopathy alike commonly attempt to illustrate the dilutions involved in homeopathy with analogies.
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Samuel Hahnemann: His Life and Work : Based on Recently Discovered State Papers, Documents, Letters, Etc
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Rey, Louis (2003). "Thermoluminescence of ultra-high dilutions of lithium chloride and sodium chloride".
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For further discussion of homeopathic dilutions and the mathematics involved, see Homeopathic dilutions.
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and a strong link to conventional medicine, while those favoring high dilutions emphasised vital force,
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Ceriotti, M.; et al. (2013), "Nuclear quantum effects and hydrogen bond fluctuations in water",
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If pure water were used as the diluent, no molecules of the original solution remain in the water.
38:(known by practitioners as "dynamisation" or "potentisation") is a process in which a substance is 2214: 2116: 2111: 2040: 2020: 1727: 1718: 1700: 1631:
Makar, A. B; McMartin, K. E; Palese, M; Tephly, T. R (1988), "When to believe the unbelievable",
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In standard chemistry, this produces a substance with a concentration of 0.01%, measured by the
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and then vigorously shaken in a process called "succussion". Insoluble solids, such as
1768: 1379:, James Glisson, Rebecca Crawford and Shannon Street, Nurse Practitioner, April 1999. 1147: 874: 550:
Grimes, D. R. (2012). "Proposed mechanisms for homeopathy are physically impossible".
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Maddox, J.; Randi, J.; Stewart, W. (1988). ""High-dilution" experiments a delusion".
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before use. Ten parts per billion is equivalent to a homeopathic dilution of 4C.
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have a very different hydrogen bond structure from normal water, as measured by
458: 369: 287: 60: 1482: 817: 2101: 2060: 1949: 1068:
If a dilution is designated as q on the Q scale, and c on the C scale, c/q=log
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Note: the "X scale" is also called "D scale". 1X = 1D, 2X = 2D, etc.
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Has a 60% probability of containing one molecule of original material
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Review, critique, and guidelines for the use of herbs and homeopathy
495: 112: 946:, Creighton University Department of Pharmacology, archived from 873:, Creighton University Department of Pharmacology, archived from 123:(Leopard's Bane, Fallkraut) D6, i.e. the nominal dilution is one 1921: 1469:
Fisher, P (2007). "The Memory of Water: a scientific heresy?".
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The volume of all water on earth is about 1.36×10 km:
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is a 200C dilution of duck liver, marketed under the name
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Archived from 1835: 1829: 1828: 1820: 1814: 1813: 1805: 1799: 1798: 1796: 1794: 1779: 1773: 1772: 1744: 1738: 1737: 1736: 1735: 1715: 1709: 1708: 1689:10.1038/334287a0 1664: 1658: 1657: 1656: 1654:10.1038/333787a0 1628: 1622: 1621: 1578: 1572: 1571: 1562: 1552: 1524: 1518: 1517: 1509: 1503: 1502: 1466: 1460: 1459: 1457: 1456: 1451:on July 18, 2007 1447:. Archived from 1441: 1432: 1411: 1405: 1404: 1399:. Archived from 1393: 1387: 1372: 1366: 1365: 1347: 1341: 1340: 1323: 1317: 1316: 1310: 1306: 1304: 1296: 1272: 1266: 1263: 1257: 1256: 1226: 1220: 1219: 1203: 1197: 1196: 1174: 1168: 1167: 1127: 1121: 1120: 1118: 1116: 1101: 1095: 1094: 1092: 1090: 1079: 1073: 1066: 1060: 1059: 1058: 1057: 1042: 1036: 1035: 1024: 1013: 1007: 1006: 1004: 1002: 979: 973: 972: 964: 958: 957: 956: 955: 938: 932: 931: 926:Smith T (1989), 923: 917: 916: 915: 914: 891: 885: 884: 883: 882: 865: 859: 852: 846: 845: 797: 791: 790: 788: 786: 777:. 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Vithoulkas 2064: 2062: 2059: 2057: 2054: 2052: 2049: 2047: 2044: 2042: 2039: 2037: 2034: 2032: 2029: 2027: 2024: 2022: 2019: 2017: 2014: 2012: 2009: 2007: 2004: 2002: 1999: 1998: 1996: 1992: 1986: 1983: 1982: 1980: 1976: 1970: 1967: 1965: 1962: 1961: 1959: 1955: 1951: 1943: 1938: 1936: 1931: 1929: 1924: 1923: 1920: 1904:on 2006-08-22 1903: 1899: 1898: 1890: 1887: 1877:on 2007-08-19 1876: 1872: 1868: 1867: 1859: 1856: 1845:on 2015-10-05 1844: 1840: 1834: 1831: 1826: 1819: 1816: 1811: 1804: 1801: 1789: 1788:New Scientist 1785: 1778: 1775: 1770: 1766: 1762: 1758: 1754: 1750: 1743: 1740: 1730: 1729: 1724: 1720: 1714: 1711: 1706: 1702: 1698: 1694: 1690: 1686: 1682: 1678: 1674: 1670: 1663: 1660: 1655: 1650: 1646: 1642: 1638: 1634: 1627: 1624: 1620: 1616: 1612: 1608: 1604: 1600: 1596: 1592: 1588: 1584: 1577: 1574: 1570: 1566: 1561: 1556: 1551: 1546: 1542: 1538: 1534: 1530: 1523: 1520: 1515: 1508: 1505: 1500: 1496: 1492: 1488: 1484: 1480: 1476: 1472: 1465: 1462: 1450: 1446: 1440: 1438: 1434: 1431: 1430:0-321-43726-8 1427: 1423: 1419: 1415: 1410: 1407: 1402: 1398: 1392: 1389: 1386: 1382: 1378: 1377: 1371: 1368: 1363: 1357: 1353: 1346: 1343: 1338: 1334: 1328: 1322: 1319: 1314: 1302: 1294: 1288: 1284: 1280: 1279: 1271: 1268: 1262: 1259: 1254: 1248: 1244: 1243: 1235: 1232:(also called 1231: 1225: 1222: 1217: 1213: 1209: 1202: 1199: 1194: 1188: 1184: 1180: 1173: 1170: 1165: 1161: 1157: 1153: 1149: 1145: 1141: 1137: 1133: 1126: 1123: 1110: 1106: 1100: 1097: 1084: 1078: 1075: 1065: 1062: 1052: 1048: 1041: 1038: 1034: 1028: 1021: 1020: 1012: 1009: 997: 991: 987: 986: 978: 975: 970: 963: 960: 950:on 2007-08-08 949: 945: 944: 937: 934: 929: 922: 919: 909:on 2002-08-26 908: 904: 900: 896: 890: 887: 877:on 2012-10-16 876: 872: 871: 864: 861: 857: 851: 848: 843: 839: 835: 831: 827: 823: 819: 815: 811: 807: 803: 796: 793: 780: 776: 770: 767: 755: 748: 745: 740: 734: 730: 723: 720: 715: 709: 705: 704:Fourth Estate 701: 694: 691: 686: 680: 676: 671: 670: 661: 659: 657: 655: 651: 646: 640: 636: 635: 627: 625: 621: 616: 612: 607: 602: 597: 592: 589:(9): e74181. 588: 584: 580: 573: 570: 565: 561: 557: 553: 546: 543: 539: 533: 529: 528: 520: 517: 510: 508: 506: 501: 497: 493: 489: 480: 478: 476: 472: 468: 464: 460: 456: 447: 445: 442: 440: 435: 429: 427: 423: 422: 417: 412: 410: 405: 399: 397: 395: 386: 383: 382: 381: 375: 373: 371: 367: 363: 359: 354: 347: 339: 336: 332: 329: 326: 323: 322: 317: 314: 311: 308: 307: 303: 300: 297: 294: 293: 289: 285: 282: 279: 276: 273: 272: 269: 266: 263: 260: 259: 256: 253: 250: 247: 246: 243: 240: 237: 234: 233: 229: 225: 222: 219: 216: 215: 211: 208: 205: 202: 201: 197: 194: 191: 188: 187: 184: 180: 176: 174: 168: 166: 165: 159: 153: 151: 147: 143: 137: 134: 126: 122: 121: 115: 108: 106: 104: 99: 95: 87: 85: 83: 78: 77:pseudoscience 73: 71: 67: 63: 62: 57: 53: 49: 45: 41: 37: 33: 19: 2225:Water memory 2142: 2031:S. Hahnemann 2016:Peter Fisher 2011:J. H. Clarke 1906:, retrieved 1902:the original 1896: 1889: 1879:, retrieved 1875:the original 1865: 1858: 1847:. Retrieved 1843:the original 1833: 1824: 1818: 1809: 1803: 1791:. Retrieved 1787: 1777: 1752: 1748: 1742: 1732:, retrieved 1726: 1713: 1672: 1668: 1662: 1636: 1632: 1626: 1586: 1582: 1576: 1532: 1528: 1522: 1513: 1507: 1477:(3): 141–2. 1474: 1470: 1464: 1453:. Retrieved 1449:the original 1417: 1409: 1401:the original 1391: 1375: 1370: 1351: 1345: 1332: 1326: 1321: 1277: 1270: 1261: 1245:. Springer. 1241: 1233: 1224: 1211: 1201: 1178: 1172: 1142:(2): 59–68. 1139: 1135: 1125: 1113:. Retrieved 1109:the original 1099: 1087:. Retrieved 1077: 1064: 1054:, retrieved 1050: 1040: 1018: 1011: 999:. Retrieved 984: 977: 968: 962: 952:, retrieved 948:the original 942: 936: 927: 921: 911:, retrieved 907:the original 898: 889: 879:, retrieved 875:the original 869: 863: 850: 809: 805: 795: 783:. Retrieved 779:the original 769: 757:. Retrieved 747: 728: 722: 699: 693: 668: 633: 586: 582: 572: 555: 551: 545: 526: 519: 484: 459:femtoseconds 455:water memory 451: 443: 430: 419: 413: 406: 403: 390: 379: 351: 227: 181: 177: 169: 162: 154: 141: 138: 130: 118: 102: 91: 74: 59: 35: 29: 2086:George Wyld 1414:Section 5.3 1325:Gleick PH, 1309:|work= 1001:January 24, 700:Bad Science 370:trituration 133:logarithmic 131:Three main 61:trituration 2246:Homeopathy 2102:Ainsworths 2061:E. B. Nash 2056:J. T. Kent 1994:Homeopaths 1950:homeopathy 1948:Topics in 1908:2006-07-27 1881:2009-03-25 1849:2015-10-04 1793:11 October 1734:2007-10-03 1719:Sullivan W 1471:Homeopathy 1455:2007-07-24 1056:2007-08-04 1045:Little D, 954:2007-08-20 913:2009-03-24 881:2009-02-15 806:Homeopathy 702:. London: 511:References 441:of water. 150:milk sugar 103:succussion 94:homeopathy 88:Background 70:Schuessler 32:homeopathy 2157:Criticism 2081:John Weir 1957:Workbooks 1755:: 67–74. 1311:ignored ( 1301:cite book 1156:0007-0785 826:1475-4916 500:spiritual 492:pathology 400:Analogies 348:Dilutions 2240:Category 2205:Medicine 2193:See also 2179:Quackery 1611:15758995 1569:24014589 1491:17678808 1381:Archived 1164:71942187 1115:June 15, 1089:June 15, 834:16815521 785:June 15, 615:24019954 583:PLOS ONE 366:platinum 192:C Scale 189:X Scale 2184:Placebo 2131:Related 1757:Bibcode 1705:9579433 1697:2455869 1677:Bibcode 1641:Bibcode 1619:4396493 1591:Bibcode 1560:3785726 1537:Bibcode 1499:3737723 858:method. 842:3760829 759:May 26, 606:3760822 505:placebo 385:6.02×10 362:diamond 358:granite 286:if one 226:called 146:ethanol 142:potency 56:lactose 40:diluted 2107:Boiron 1703:  1695:  1669:Nature 1633:Nature 1617:  1609:  1583:Nature 1567:  1557:  1497:  1489:  1428:  1358:  1289:  1249:  1189:  1162:  1154:  1029:  992:  840:  832:  824:  735:  710:  681:  641:  613:  603:  534:  498:and a 496:miasms 439:tonnes 364:, and 228:higher 223:1:100 195:Ratio 52:oyster 48:quartz 1701:S2CID 1615:S2CID 1495:S2CID 1329:, In 1160:S2CID 1023:(PDF) 838:S2CID 327:200C 324:400X 209:1:10 198:Note 127:(10). 2112:Heel 1795:2014 1693:PMID 1607:PMID 1565:PMID 1529:PNAS 1487:PMID 1426:ISBN 1356:ISBN 1313:help 1287:ISBN 1247:ISBN 1187:ISBN 1183:Kent 1152:ISSN 1117:2015 1091:2015 1027:ISBN 1003:2013 990:ISBN 830:PMID 822:ISSN 787:2015 761:2011 733:ISBN 708:ISBN 679:ISBN 639:ISBN 611:PMID 532:ISBN 469:and 409:drop 372:"). 312:30C 309:60X 298:13C 295:26X 288:mole 277:12C 274:24X 261:12X 50:and 1765:doi 1753:323 1685:doi 1673:334 1649:doi 1637:333 1599:doi 1587:434 1555:PMC 1545:doi 1533:110 1479:doi 1144:doi 814:doi 601:PMC 591:doi 560:doi 416:flu 330:10 315:10 301:10 280:10 267:10 264:6C 254:10 251:4C 248:8X 241:10 238:3C 235:6X 220:1C 217:2X 203:1X 30:In 2242:: 1869:, 1786:. 1763:. 1751:. 1725:, 1699:. 1691:. 1683:. 1671:. 1647:, 1635:, 1613:, 1605:, 1597:, 1585:, 1563:, 1553:, 1543:, 1531:, 1493:. 1485:. 1475:96 1473:. 1436:^ 1416:, 1305:: 1303:}} 1299:{{ 1281:. 1214:. 1210:. 1181:. 1158:. 1150:. 1140:78 1138:. 1134:. 1070:10 1049:, 901:, 897:, 836:. 828:. 820:. 810:95 808:. 804:. 706:. 677:. 653:^ 623:^ 609:. 599:. 585:. 581:. 556:17 554:. 507:. 477:. 360:, 206:― 96:, 84:. 34:, 1941:e 1934:t 1927:v 1852:. 1797:. 1771:. 1767:: 1759:: 1707:. 1687:: 1679:: 1651:: 1643:: 1601:: 1593:: 1547:: 1539:: 1501:. 1481:: 1458:. 1364:. 1315:) 1295:. 1255:. 1218:. 1195:. 1166:. 1146:: 1119:. 1093:. 1005:. 844:. 816:: 789:. 763:. 741:. 716:. 687:. 647:. 617:. 593:: 587:8 566:. 562:: 58:( 20:)

Index

Homeopathic dilution
homeopathy
diluted
distilled water
quartz
oyster
lactose
trituration
Samuel Hahnemann
Schuessler
pseudoscience
herbal medicine
homeopathy
Samuel Hahnemann

Arnica montana
part in a million
logarithmic
ethanol
milk sugar
smallest possible unit of a chemical substance
Avogadro constant
Constantine Hering
Has a 60% probability of containing one molecule of original material
mole
Oscillococcinum
Serial dilution
granite
diamond
platinum

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