Quatrains collected from the miscellaneous publications and scattered documents of the Sette off odd volumes, together with a fore-word on the quatrain as a form of literary art.

Collected by Silvanus P. Thompson, magnetizer, with forewords by Brother John Todhunter, playwright. cf. colophon.

Out of the hurly-burly; or, Life in an odd corner,

Mode of access: Internet.

Masters in art [odd numbers, i.e.] Andrea del Sarto [Raphael Sanzio, The frescoes of Raphael, Michelangelo as a sculptor, Michelangelo as a painter, Leonardo da Vinci].

Mode of access: Internet.

Old and odd memories,

Mode of access: Internet.

Accumulation rates of plant-wax-derived long-chain C25 to C35 odd-numbered n-alkanes and d13C values of the n-C31 alkane of ODP Hole 175-1077B

The dominant forcing factors for past large-scale changes in vegetation are widely debated. Changes in the distribution of C4 plants-adapted to warm, dry conditions and low atmospheric CO2 concentrations (Collatz et al., 1998, doi:10.1007/s004420050468) -have been attributed to marked changes in environmental conditions, but the relative impacts of changes in aridity, temperature (Pagani et al., 1999, doi:10.1126/science.285.5429.876; Huang et al., 2001, doi:10.1126/science.1060143) and CO2 concentration (Cerling et al., 1993, doi:10.1038/361344a0; Kuypers et al., 1999, doi:10.1038/20659) are not well understood. Here, we present a record of African C4 plant abundance between 1.2 and 0.45 million years ago, derived from compound-specific carbon isotope analyses of wind-transported terrigenous plant waxes. We find that large-scale changes in African vegetation are linked closely to sea surface temperatures in the tropical Atlantic Ocean. We conclude that, in the mid-Pleistocene, changes in atmospheric moisture content - driven by tropical sea surface temperature changes and the strength of the African monsoon - controlled aridity on the African continent, and hence large-scale vegetation changes.

Multiple Myeloma Presenting with Distal Limb Gangrene: An Odd Case Report

Multiple myeloma (MM) is a plasmocytic malignant proliferation of a single clone resulting in an overabundance of monoclonal immunoglobulins. MM commonly presents with bone disorders, renal failure, anaemia and hypercalcaemia. Hyperviscosity syndrome is rare, as are vaso-occlusive symptoms. The authors report a dramatic case of an 80-year-old woman admitted to the emergency department with full-blown distal gangrene. The culprit turned out to be a MM, unusually presenting with symptomatic hyperviscosity and peripheral occlusive ischaemia. This catastrophic and particularly dramatic presentation is almost unprecedented, with only a few cases reported worldwide.

The ranks of the homotopy groups of odd degree of a finite complex

Special Issue in honor of Prof. Hans-Bjørn Foxby

A study of the ^9 Be nucleus

The reaction ⁷Li(³He, p)⁹Be has been used to measure excitations and intrinsic widths of levels in ⁹Be below the ⁷Li + d threshold. Previously unreported levels have been found at excitations of (13.78 ± .03) MeV and (16.671 ± .008) MeV with widths of (590 ± 60) keV and (41 ± 4) keV respectively. Two overlapping levels have been found at (11.81 ± .02) MeV and (11.29 ± .03) MeV with widths of (400 ± 30) keV and (620 ± 70) keV respectively. Branching ratios from ⁹Be levels populated in this reaction to the ground and first excited states of ⁸Be have been measured by observing the associated protons in coincidence with the decay neutrons. Branching ratios were found to be:

Excitation in ⁹Be .... Branching Ratio.......... Final Nucleus.........

(MeV) .......................... (percent) .....................................

.. 2.43 ........................... 7.5 ± 1.5 .............. ⁸Be(g.s.)

.. 3.03 ........................... 87 ± 13......................................

.. 4.65 ........................... 13 ± 4.......................................

.. 6.76 .............................. ≤ 2 ......................................

.. 11.29 ...............................≤ 2 ......................................

.. 11.81 ...............................≤ 3 ......................................

.. 6.76 ........................... .41 ≤ B.R. ≤ .69 ....... ⁸Be(2⁺)

.. 11.29 ........................... 14 ± 4 .......................................

.. 11.81 ........................... 12 ± 4 .......................................

Corresponding reduced widths for neutron emission are calculated and a comparison of the results with the expectations of current nuclear models is made. In particular the measured branching ratio to ⁸Be(g.s.) from ⁹Be(2.43 MeV) corresponds to an f-wave reduced with θ²_f = 2.1 x 10^-2, in units of ħ²/mR², with R = 4.35 fm. A comparison of this value with that predicted by a Nilsson model calculation, in which ⁹Be is taken to be a deformed nucleus, is discussed. The measured value for θ²_f is found to be consistent with that expected on the basis of measured E2-transition rates between rotational levels in ⁹Be.

Isotope shift studies in the rare earths and lead

Isotope shifts of K_α1 x-ray transitions were measured for the Neodymium isotopes Nd 142, 143, 144, 145, 146, 148 and 150, the Samarium isotopes Sm 147, 148, 149, 150, 152 and 154, the Gadolinium isotopes Gd 154, 155, 156, 157, 158 and 160, the Dysprosium isotopes Dy 162 and 164, the Erbium isotopes Er 166, 168 and 170, the Hafnium isotopes Hf 178 and 180 and the Lead isotopes Pb 204, 206, 207 and 208. A curved crystal Cauchois spectrometer was used. The analysis of the measurement furnished the variation of the mean square charge radius of the nucleus, δ˂r²˃, for 23 isotope pairs. The experimental results were compared with theoretical values from nuclear models. Combining the x-ray shifts and the optical shifts in Nd and Sm yielded the optical mass shifts. An anomaly was observed in the odd-even shifts when the optical and the x-ray shifts were plotted against each other.

Branching Ratios of alpha Decay for Nuclei near Deformed Shell Closures

The generalized liquid drop model (GLDM) is extended to the region around deformed shell closure (270)Hs by taking into account the excitation energy EI+ of the residual daughter nucleus and the centrifugal potential energy V-cen(r). The branching ratios of alpha decays from the ground state of a parent nucleus to the ground state 0(+) of its deformed daughter nucleus and to the first excited state 2(+) are calculated in the framework of the GLDM. The results support the proposal that a measurement of alpha spectroscopy is a feasible method to extract information on nuclear deformation of superheavy nuclei around the deformed nucleus (270)Hs.

Observation of Three-Quasiparticle Doublet Bands in I-123: Possible Evidence of Chirality

A new band in the odd proton nucleus I-123 is identified via in- beam gamma- ray spectroscopy using the N-14+Cd-116 reaction. This band shows up as doublets with the previously assigned pi g(7/2) circle times (nu h(11/2))(2) band. Possible configurations of the new band are discussed in the framework of the cranked shell model and the geometrical model. It is argued that the new band might be a chiral partner of the previously known pi g(7/2) circle times (nu h(11/2))(2) band.

Anomaly in the charge radii and nuclear structure

The axially deformed relativistic mean field theory is applied to study the isotope shift of charge distributions of odd-Z Pr isotope chain. The nuclear structure associated with the shell and the isotope effect is investigated. The mechanism of link in the isotope shift at the neutron magic number N = 82 is revealed to be dependent on the neutron energy level structure at the Fermi energy, demonstrating that the spin-orbit coupling interaction and p-n attraction are well described by the relativistic mean field theory.

Properties of the beta-delayed proton decay of Ho-146

The proton-rich isotope Ho-148 was produced via the fusion-evaporation reaction Mo-92 (Ni-58, 3p1n). The beta-delayed proton decay of Ho-146 was studied by proton-gamma coincidence measurements using a He-jet tape transport system. The gamma-transitions in Tb-145 following the proton emissions were observed, and the beta-delayed proton branching ratios to the final states in the grand-daughter nucleus Tb-145 were determined. According to the relative branching ratios, the ground-state spin of Ho-146 has been proposed and the possible configuration discussed.

奇奇核166,168Lu和奇中子核87Zr高自旋态的实验研究

本论文主要进行了奇奇核~(166)Lu、~(168)Lu和奇中子核~(87)Zr的高自旋态的研究工作，对它们高自旋态的一些物理现象进行了讨论。并且首次对1／2~-[541](direct X)vi_(13/2)组态带的系统学规律进行了总结。主要由以下三个部分组成：~(166,168)Lu高自旋态的研究在最近有关形变奇奇核高自旋态的研究工作中，随着实验上π1／2-[541](direct X)vi_(13/2)带自旋的确定，人们发现除了130区的兀h_(11/2)(direct X)vh_(11/2)和160区的兀h_(11/2)(direct X)vi_(13/2)组态带低自旋旋称反转以外，π1／2~-[541](direct X)vi_(13/2)带的低自旋也是反转的，该转动带低自旋旋称反转现象引起了人们的很大的兴趣并得到很广泛的研究，为了通过π1／2~-[541](direct X)vi_(13/2)带与已知自旋和宇称的基态和一些低激发态相连，确定该转动带的自旋，人们付出了很大的努力。特别是最近几年，一些实验上自旋的确定，使得研究π1／2~-[541](direct X)vi_(13/2)组态带低自旋旋称反转的系统学规律成为可能。需要指出的是在以前的研究结果中，~(166)Lu的π1／2~-[541](direct X)vi_(13/2)组态带的能级摆动规律与相邻奇奇核该组态带的能级摆动规律严重不符，澄清该疑点是我们重新研究该核的主要动力之一。在以前~(168)Lu的研究工作中，只在~(168)Lu中发现两个带，但其中只有晕带的组态得到指定，根据带结构和旋称劈裂的大小估计另一个带极有可能是π1／2~-[541](direct X)vi_(13/2)带。为了澄清以上这些疑点和得到π1／2~-[541](direct X)vi_(13/2)组态带的系统学规律，我们重新研究了。~(166,168)Lu的高自旋态。另外(h_(11/2)_p(i_(13/2))_n组．态带的低自旋旋称反转是一个广为人知的物理现象，但在以前的有关~(166）Lu的结果中对(h_(11/2))_p(i_(13/2))_n组态带白旋的确定与该组态带低自旋旋称反转系统规律相反，这也是我们对~(166)Lu重新研究的一个原因。实验是在北京中国原子能科学研究院HI-13串列加速器上进行的，分别利用入射能量为97MeV和92MeV的~(19)F束通过熔合蒸发反应~(152)Sm(~(19)F,~5n)~(166)Lu和~(154)Sm(~(19)F5n)~(168)Lu布居了~(166)Lu和~(168)Lu的高自旋态。用十台HpGe探测器组成的探测阵列进行γ-γ符合测量，对~(166)Lu和~(168)Lu分别记录了约1.27 * 10~8和0.25 * 10~8个两重和两重以上的符合事件。在~(166)Lu中，共发现了五条转动带，根据它们的顺排在0.28MeV均没有出现上弯，意味着它们的中子均占居i_(13/2)轨道，同时根据在~(165)Lu和~(167)Lu只发现基于9／2~-[514]、7／2~-[404]、1／2~-[541]、1／2~+[411]和5／2~+[402]轨道的转动带及在~(165)Yb和~(167)Hf中晕带均为5／2~+[642]的事实，那么由上述质子轨道和中子轨道组成的转动带是本文发现的五条带的最可能的侯选者。本实验中观察到的五条转动带分别基于7／2~+[404](direct X)5／2~+[642]、9／2~-[514](direct X)5／2~+[642]、1／2~-[541](direct X)5／2~+[642]、5／2~+[402](direct X)5／2~+[642]和1／2~+[642](direct X)5／2~+[642]轨道的转动带。和以前的数据相比主要有以下几点改进：(A)在以前的结果中，包括2000年新发表的有关~(166)Lu的文章，他们均把本文~(166)Lu纲图中(5)和(6)退激系列归属于π1／2~-[541](direct X)v5／2~+[642]转动带，而在本文中通过符合关系一个新的退激系列(7)被发现，根据(6)和(7)之间的符合关系、带交叉频率、γ射线强度和B(M1)／B(E2)的比值等关系，本文认为新发现的退激系列(7)与(6)组成新的π1／2~-[541](direct X)v5／2~+[642]转动带.以前的结果的错误在于把属于1／2~-[541](direct X)5／2~+[642]转动带的α = 0与1／2~-[541](direct X)5／2~+[642]转动带的α = 0误归于一个带，这就澄清了原文献中π1／2~-[541](direct X)v5／2~+[642]转动带能级摆动规律与相邻奇奇核该组态带能级摆动规律不符的疑点，同时把原文献中误归于π1／2~-[541](direct X)v5／2~+[642]转动带的那一个退激系列(5)重新指定为1／2~+[411](direct X)5／2~+[642]带(α = 0)；(B)通过分析实验数据、跃迁能量系统学和运用顺排相加性规则对以前实验中建立的9／2~-[514](direct X)5／2~+[642]和7／2~+[404](direct X)5／2~+[642]带的自旋进行了重新指定，把它们的自旋在原文的基础上加1个单位，澄清了以前的有关~(166)Lu结果中对9／2~-[514](direct X)5／2~+[642]组态带自旋的确定与该组态带低自旋旋称反转事实相反的疑点；(C)新发现了基于9／2~-[541](direct X)5／2~+[642]组态的转动带。在~(168)Lu中，共观察到了四条转动带，分别是π1／2~-[541](direct X)v5／2~+[642]、7／2~+[404](direct X)5／2~+[642]、 9／2~-[514](direct X)5／2~+[642]和7／2~+[404](direct X)5/2~-[523](本文新建立的带)带，本文对其中晕带7／2~+[404](direct X)5／2~+[642]的K值取值与原文献中的取值不同，并根据能量系统学和带头激发能指出不同的原因。 除以上所述外，本文还给出了~(166)Lu和~(168)Lu各γ射线的强度、转动参数A、较强γ射线的DCO值、分支比和B(M1)／B(E2)等实验值。基于实验和理论预期的B(M1)／B(E2)比值的比较、各带带交叉行为、顺排相加性、带头激发能和转动参数A对各带的组态和自旋进行了指定。最后通过对实验上对~(162,164)Tm、~(174)Ta和~(176)Re的π1／2~-[541](direct X)vi_(13/2)组态带p-n剩余相互作用信息的提取，指出奇质子核中1／2~-[541]带的带交叉频率相对相邻偶偶核的延迟约三分之一到一半左右，其原因是由于p-n剩余相互作用所造成的(包含了对效应和形变变化的CSM模型能够解释另一半的偏离)，可以定性的认为正是由于形变、对相互作用的变化和剩余p-n相互作用三者相结合导致了整个的1／2~-[541]带中带交叉频率的偏离。旋称反转机制综述和πh_(932)(direct X)vi_(l3/2)组态的系统学首先对导致旋称反转的各种机制做一简单回顾，同时对ππh,u2⑩vi,钔组态带系统学规律做一简单总结，总结了πh_(11/2)(direct X)Vi_(13/2)组态带的跃迁能量系统学规律。在最近，随着~(162)Tm、~(164)Tm、~(174)Ta和~(176)Re等几个奇奇核中半退耦带1／2~-[541](direct X)vi_(13/2)的自旋通过实验方法的确定，人们惊奇的发现在上述这些核~(162)Tm、~(164)Tm、~(174)Ta和~(176)Re)中半退耦带1／2~-[541](direct X)vi_(13/2)在低自旋区都是旋称反转的。人们就会很自然的回头去看那些在该区已经布居1／2~-[541](direct X)vi_(l3／2)组态带的那些核，结果发现对于该组态带的自旋的指定是很杂乱无章的，有些自旋的确定即不符合能量系统学又与顺排相加性规则相悖，如在~(172)Ta和~(178)Re中(值得指出的是有关这两个核的文章均是在十年前发表的)，自旋的指定明显与最近发表的该区πhg_(9/2)(direct X)vi_(13/2)组态带自旋不符，本文通过能量系统学和顺排相加性对~(172)Ta和~(178)Re的1／2~-541](direct X)vi_(13/2)组态带自旋做了修改，分别增加了3h和h。本文通过对最新结果~(162)Tm、~(164)Tm、~(170)Lu、~(170,174,176)Ta、~(176)Re、~(180)Ir)和以前的结果(~(172)Ta和~(178)Re)及本文的结果(~(166,168)Lu)对上述12个核的1／2~-[541](direct X)vi_(13/2)组态带的S(I) = E(I)-E(I-1)- E(I + 2)-E(I + 1)-E(I - 1)-E(I - 2)]／2～I的变化图的分析，继A ≈ 130区7πh_(11/2)(direct X)vh_(11/2)组态带和A ≈ 160区πh_(11/2)(direct X)vi_(13/2)组态带的系统学规律以后，首次总结出A ≈ 170区π1／2~-541](direct X)vi_(13/2)组态带的系统学规律：反转点的自旋随N的增加而增加，随Z的增加而减小，与πh_(11/2)(direct X)和πh_(11/2)(direct X)vi_(13/2)转动带的系统学规律很相似，即反转点自旋均随中子和质子单调地变化。通过对各种理论模型的研究发现三轴形变、科里奥利力、带交叉与自反转和p-n相互作用在奇奇核中都有可能导致旋称反转，包含有p-n相互作用的粒子-转子模型在πh_(11/2)(direct X)和vh_(11/2)、πh_(11/2)和π1／2 ~-[541](direct X)vi_(13/2)组态带中的旋称反转上取得了某些成功，表明p-n相互作用在解释奇核低自旋反转现象中起着很重要的作用。通过对实验上π1／2~-[541](direct X)vi_(13/2)组态带旋称反转点与文献中理论计算值的比较，得出p-n相互作用强度的变化可能是导致π1／2~-[541](direct X)vi_(13/2)组态带症称反转点变化主要原因的结论。过渡区核~(87)Zr的高自旋态研究在A≈80区，许多原子核的中子和质子数都处在28和50两个满壳层之间，对于这些核而言，任何一种核子数的改变都有可能导致核形状的显著变化。有研究结果表明，对于40≤Z≤45的核来讲，N=46是变形核向球形核变化的转折点。在40≤N≤50区，对Zr(Z=40)同位素系列中诸原子核能级结构伴随中子数改变而发生的变化的研究将会帮助我们了解这个形状变化的过程。我们所研究的~(87)Zr含有47个中子，就处于这个过渡区。实验是在北京中国原子能科学研究院HI-13串列加速器上进行的，利用入射能量为118MeV的~(32)S束通过~(58)Co(~(32)S,3pn)~(87)Zr熔合蒸发反应布居。~（87）Zr的高自旋态，实验用的靶为附有Ta衬的厚度1082μg／cm~2的~(59)Co箔。用7台HpGe探测器组成的探测阵列进行γ-γ符合测量。同时采用一个小平面光子探测器探测低能γ射线。本实验记录了约1.5 * 10。个两重以上的符合事件，建立了自旋直到37／2和43／2的能级纲图。研究的结果表明：~(87)Zr与相邻同中子奇A核的正宇称低激发能级之间存在着很强的相似性，而与相邻奇A核同位素相比，结构变化明显， 这可能表明在该核区对核形变的影响中子占主要地位，质子影响较小。激发能随中子变化的比值图呈阶梯状，认为R ≈ 1.5，R_x ≈ 2.0和R_x ≥ 2.2分别代表核形变的三个区域，即球型核、过渡区核和形变核。通过与相邻(Z,N + 1)偶偶核低激发态能级相比较的方法对各低激发能级组态的主要成分进行了估计，发现随自旋的增加，出现了各能级组态之间的混杂。