150,178 research outputs found

    Prasadiseius incanus Prasad and Guanilo 2011, n. sp.

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    <i>Prasadiseius incanus</i> Prasad and Guanilo, n. sp. <p> <b>(Figs. 1 – 26)</b></p>Published as part of <i>Prasad, V., Guanilo, A. D., Grados, J. & Prassad, I., 2011, A New Species Of Prasadiseius Wainstein, 1970 (Acari: Otopheidomenidae) From Hawk Moths (Lepidoptera: Sphingidae) In Peru, pp. 99-125 in Acarologia 51 (1)</i> on page 109, DOI: 10.1051/acarologia/20111999, <a href="http://zenodo.org/record/5392781">http://zenodo.org/record/5392781</a&gt

    Calamagrostis nandadeviensis P. Agnihotri & D. Prasad 2021, sp. nov.

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    <i>Calamagrostis nandadeviensis</i> P. Agnihotri & D. Prasad, <i>sp. nov.</i> (Figs. 1,2,3,4) <p> <b>Diagnosis:—</b> <i>Calamagrostis nandadeviensis</i> differs from <i>C. lahulensis</i> by its ligules 6.1–7.8 mm long (vs. 1.0– 5.1 mm long), panicle effuse (vs. congested), callus hairs 1.0– 2.6 mm long (vs. 0.8–1.2 mm long) and, from <i>Calamagrostis scabrescens</i> by its short, weakly geniculate awn, hardly exerted from spikelets and 2.6–4.5 mm long (vs. long, geniculate, exerted from spikelet and 4.5–7.7 mm long), however, differs from them by having palea apically deeply cleft (vs. almost entire) and lodicules fused in lower half (vs. not fused).</p> <p> <b>Type:—</b> INDIA. <b>Uttarakhand</b>, Chamoli, Nanda Devi Biosphere Reserve, Valley of Flowers National Park, 30.705541N, 79.602266E, 3438 m, 23 August 2019, <i>P. Agnihotri, D. Prasad, S. Jaiswal</i> & <i>R. Yadav 326632</i> (holotype LWG! isotype BSD!).</p> <p> Perennial, woody root stocks, sub-densely tufted grass, 50–60 cm tall. Culms erect, 40–55 cm long, innovation intravaginal, geniculate, scabrous, 2–3 nodes below the panicle. Node glabrous, compressed. Leaf sheath splitoverlapping, closed, scabrid on vein; lower leaf sheaths papery; upper leaf sheaths 15–16 cm long. Leaf blade 8.0–15 × 0.3–0.5 cm, lanceolate-linear, flat or involute, scaberulous on adaxial and abaxial surface; apex acuminate; margin scabrid. Ligules 6.1–7.8 mm long, membranous, abaxial surface scabrous, adaxial surface glabrous. Inflorescence a panicle, 7.0–12 × 1.5–2.0 cm, lanceolate, effuse, open, branched; lower branches in whorls of 2–7, ascending, 2–3 cm long, scabrid. Rachis slender, scabrous. Spikelet 5.2–6.0 × 1.2–1.5 mm, pedicellate, lanceolate, laterally compressed, bearing 1-floret and bare rachilla extension, disarticulating above the glume, purple; glumes subequal, floret hermaphrodite. Pedicel shorter than spikelet, scabrous. Lower glume 5.2–6.0 × 1.1–1.2 mm, 1-keeled, 1-nerved, narrowly lanceolate, navicular, purple, scaberulous; apex acuminate; margin scabrid on upper half; keel scabrid. Upper glume 5.0–5.8 × 1.1–1.3 mm, 1-keeled, 3-nerved, narrowly lanceolate, navicular, purple; apex acuminate; margin ciliate on upper half; keel scabrid. Callus hairs 1.0– 2.6 mm long, shorter than half of the lemma. Lemma 3.8–4.9 × 1.3–1.7 mm, 5-nerved, elliptic, navicular, scabrous on upper 3/4 th, 2–4 toothed, awned; apex acute, hyaline, lateral mucro 0.4–0.7 mm long; margin membranous. Awns 2.6–4.5 mm long, slender, scabrous, inserted nearly at middle of lemma. Rachilla 1.5–2.1 mm long; penicillate hairs 2.3–3.2 mm long. Palea 3.1–3.7 mm, 2-keeled, lanceolate, hyaline, deeply bifid; apex acute; ratio of palea to lemma 0.76–0.82 mm. Stamens 3; anther 1.7–2.1 mm long. Lodicules-2, fused on lower half, ovate, apex truncate, 0.6–0.8 × 0.23–0.24 mm.</p> <p> <b>Flowering and fruiting:—</b> July to September.</p> <p> <b>Distribution, habitat and biotic association:—</b> <i>Calamagrostis nandadeviensis</i> is known from two localities, the type locality, Valley of Flowers National Park, one of the core zones of Nanda Devi Biosphere Reserve, and in alpine meadows around the Rohtang Pass (Fig. 3). In both the localities, <i>C. nandadeviensis</i> was found growing associated with <i>Briza media</i> Linnaeus (1753: 70), <i>Bromus catharictus</i> Vahl (1791: 22), <i>Dactylis glomerata</i> Linnaeus (1753: 71), <i>Festuca ovina</i> Linnaeus (1753: 73) and <i>Poa alpina</i> Linnaeus (1753: 67) at an elevation ranging from 3400 m to 3700 m in alpine meadows. The Valley of Flowers National Park, Uttarakhand is well known for plant diversity and endemism. About 28 species of grasses have been reported in this region (Bisht <i>et al.</i> 2018). On the other hand, Rohtang Pass is a high mountain pass situated on the eastern Pir Panjal Range of the Himalayas at about 51 km from Manali in Himachal Pradesh. It demarcates Kullu valley from Lahaul Spiti valley in Himachal Pradesh. These regions are characterized by large range of alpine meadows, an open habitat in which grass and non-woody plants are predominately present. As the Valley of Flowers National Park is a protected area, so vegetation of this place is intact from external anthropogenic pressure whereas, Rohtang Pass is an unprotected area, open for tourists and local people, which render its vegetation threatened. Plants growing in this region face anthropogenic threats cause due to overgrazing by animals, increased tourism, etc., and hence the plant diversity is at a risk of extinction in the future.</p> <p> <b>Etymology:—</b> The species is named after its type locality Nanda Devi Biosphere Reserve.</p> <p> <b>Taxonomic notes and remarks:—</b> <i>Calamagrostis nandadeviensis</i> is closely allied to <i>C. lahulensis</i> and <i>C. scabrescens,</i> distributed in Himalayan Region and, often similar to <i>C. nagarum</i> (Bor) G. Singh (1984: 94), known only from north-east India (Bor 1960, Kellogg <i>et al.</i> 2020) and two other species known only from China and Myanmar, <i>C. himalaica</i> (Liou ex Chen) Paszko (2015: 142) and <i>C. nyinghchinesis</i> (P. C. Kuo & S. L. Lu) Paszko (2016: 51), which are collectively recognized by similar length of spikelet, more or less scabrid glume and geniculate awns inserted nearly at the middle or above the middle of the dorsal surface of the lemma (Bor 1960, Noltie 2000, Lu & Philips 2006, Paszko 2014). <i>C. nandadeviensis</i> differs from <i>C. lahulensis</i> and <i>C. scabrescens</i> in circumscriptions of habit, leaf blade, ligule, panicle and spikelet (Table 1. Fig. 4.), whereas clearly distinguishable from <i>C. nagarum</i> by having leaf blade 8–15 cm long (vs. 15–30 cm long), ligule 6.1–7.8 mm long (vs. 1–2 mm long) and panicle 7–12 cm long, lanceolate (vs. 12–20 cm long, ovate) (Shukla 1996). However, <i>C. himalaica</i> is recognized by spikelet occasionally bearing 2- florets and awn 4.5–10 mm long, which is conspicuously exerted from spikelet (Paszko 2014) and <i>C. nyinghchinesis</i> by shorter length of anther, that is 0.7–1.1 mm long (Paszko 2016), therefore, <i>C. nandadeviensis</i> is clearly distinct from them.</p> <p> <b> Additional specimens examined:— <i>Calamagrostis nandadeviensis sp. nov.</i> (paratype):</b> INDIA. <b>Himachal Pradesh</b>, Kullu, Manali, on the way to Rohtang pass, near Maharishi Vedvyas temple, 32.359364N, 77.230075E, 3673 m, 5 August 2019, <i>D. Prasad</i> & <i>R. Yadav 316275</i>, (LWG!).</p> <p> <b> <i>Calamagrostis lahulensis</i>:</b> INDIA. <b>Himachal Pradesh:</b> Kullu, Manali, 10 km before Rohtang Pass, 32.35789N, 77.21695E, 3635 m, 5August 2019, <i>D. Prasad & R. Yadav 316250, 326868,</i> (LWG!); Marhi, 32.348869N, 77.223234E, 3372 m, 7 August 2019, <i>D. Prasad & R. Yadav 326811, 326814</i> (LWG!).</p> <p> <b> <i>Calamagrostis scabrescens</i>:</b> INDIA. <b>Jammu & Kashmir</b>: Kashmir, Sonsal Nullah, Liddar Valley, 3962–4267 m, 31 July 1893, <i>J.D. Hooker 13349,</i> (DD!); Kashmir, Anantnag, Liddar Valley, 3350–3660 m, 22 July 1892, <i>J.D. Hooker 12220</i> (DD!); Kashmir, Campus of University of Kashmir, 34.051208°N, 74.051208°E, 2662 m, 22 July 2019, <i>S Tripathi, R Yadav</i> & <i>S Jaiswal 316841,</i> (LWG!). <b>Himachal Pradesh:</b> Kullu, Manali, on the way to Marhi, 32.356538N, 77.222545E, 3528 m, 7 August 2019, <i>D. Prasad, R. Yadav 314813,</i> (LWG!). <b>Uttarakhand:</b> Chamoli, Nandadevi Biosphere Reserve, Valley of Flowers National Park, 30.712096N, 79.592776E, 3417 m, 23 August 2019, <i>P. Agnihotri, D. Prasad, R. Yadav</i> & <i>S. Jaiswal 326763, 326762</i> (LWG!).</p> <p> <b>Table 1.</b> Comparison of morphological characters (states or ranges) of <b> <i>Calamagrostis lahulensis</i>, <i>C. scabrescens</i></b> and <i>C. nandadeviensis sp. nov.</i></p>Published as part of <i>Prasad, Dileshwar, Tripathi, Shailja, Jaiswal, Shubham, Yadav, Rekha & Agnihotri, Priyanka, 2021, Calamagrostis nandadeviensis (Poaceae, Agrostidinae), a new grass species from India, pp. 221-228 in Phytotaxa 505 (2)</i> on pages 222-227, DOI: 10.11646/phytotaxa.505.2.8, <a href="http://zenodo.org/record/5425451">http://zenodo.org/record/5425451</a&gt

    Agrostis barikii P. Agnihotri & D. Prasad 2021, sp. nov.

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    <i>Agrostis barikii</i> P. Agnihotri & D. Prasad, <i>sp. nov.</i> (Figs. 1–3) <p> Diagnosis:—Differs from <i>Agrostis griffithiana</i> by its ligule short-ciliate (vs. non-ciliate), lower glume 2.3–3.2 mm long (vs. 3.2–4.2 mm long), absence of mucro at lemma tip (vs. mucro present, 0.2−0.4 mm long), awn 1.8–3.6 mm long (vs. 4.8–5.6 mm long), and anthers 0.5–0.7 mm long (vs. 0.8–0.9 mm long).</p> <p> <b>Type:—</b> INDIA. Uttarakhand, Chamoli, Ghangharia, Nanda Devi Biosphere Reserve, Valley of Flowers National Park, 30.708117°N, 79.596247°E, 3175 m, 23 August 2019, <i>P</i> <i>. Agnihotri, D. Prasad, R. Yadav & S.</i> <i>Jaiswal 326659</i> (holotype LWG, Isotype BSD).</p> <p>Perennial, caespitose, roots fibrous, densely tufted grass, 10–35 cm tall. Culms 8–29 cm long, geniculately ascending, 1–2 mm in diameter, terete, glabrous, 2–3-noded below the panicles. Nodes glabrous, constricted. Distal leaf blades 25–210 × 0.8–2.5 mm, convolute, adaxial surface scaberulous, abaxial surface glabrous; basal blades 65–90 × 1.3–1.4 mm, setaceous, glabrous. Ligules 1.3–3.5 mm long, abaxial surface scabrous, apex truncate, short-ciliate. Panicles 3.5–10.5 × 0.4–1.1 cm, lanceolate, contracted, lower branches in whorls of 2–4, 2.5–7.5 mm long. Spikelets 2.3–3.2 × 0.8–1.5 mm (excluding awn), 1-flowered, bisexual, laterally compressed, rachilla disarticulating above the glumes; glumes equal or subequal, glabrous, lower glume 2.3–3.2 × 0.8–1 mm, 1-nerved, 1-keeled, elliptic to lanceolate, apex acute, keel ciliate on the upper half; upper glume 2.1–3.2 × 0.7–1.1 mm, 1-nerved, 1-keeled, elliptic, apex acute, keel ciliate; lemma 1.5–2.2 mm long, 5-nerved, membranous, hairy on the dorsal surface, except at the apex, 2/3 the length of the lower glume, margin hyaline, entire, apex truncate, entire; rachilla extensions absent; palea 1.2–1.6 mm long, 2-nerved, hyaline, glabrous, 2/3 the length of the lemma; awn 1.8–3.6 mm long, inserted 0.4–0.6 mm long above the base of the lemma, geniculate, extending above the glumes, column twisted, 1–1.6 mm long; callus hairs 0.4–0.7 mm long, in two small tufts on the ventral side; stamens 3; anthers 0.5–0.7 mm long; caryopsis 1.3–1.6 × 0.3–0.5 mm, lanceolate, color golden-brown.</p> <p> <b>Flowering and fruiting</b>:—Fertile material of <i>Agrostis barikii</i> was gathered from August to October.</p> <p> <b>Habitat and distribution</b>:— <i>Agrostis barikii</i> is known from the Indian Western Himalayan region. The new species was found in two localities of Uttarakhand, the Kedarnath Wildlife Sanctuary and the Valley of Flowers National Park, and one locality in the Rohtang Pass of Himachal Pradesh (Fig. 3). Based on these records, we believe, it is distributed from Garhwal Himalaya to Pir Panjal range of Western Himalaya. It grows between alpine and subalpine zones at an elevation of 2650–3600 m a.s.l., in open slopes of alpine grasslands, rock boulders of landslide areas, and rocky surface of alpine meadows.</p> <p> <b>Taxonomic affinity</b>:—The caespitose grass <i>A. barikii</i> has lemma with pilose dorsal surface, a typical character of the <i>A. pilosula</i> group, and thus we here assign it to this morphological group. It is most similar to <i>A. griffithiana</i> due to its hairy lemma (except at the apex), similar ratio of palea length to lemma length, and well developed awns, but they differ by a combination of features, including ligule shape, lower glume length, lemma apex, and size of anthers (Table 1) (Fig. 1–2). <i>Agrostis barikii</i> and <i>A. pilosula</i> have well developed geniculate awns, and glumes and lemma of similar size, but differ by the ratio of palea length to lemma length (0.18−0.55 mm vs. 0.72–0.80 mm) (Fig. 1G, Fig. 2E). <i>Agrostis munroana</i> and <i>A. pendryi</i> are characterized by weak, straight, and short awns which do not exsert from the glumes, whereas <i>A. barikii</i> has well developed awns which are geniculate and conspicuously exserted (Fig. 1B–C). <i>Agrostis barikii</i> also differs from <i>A. pendryi</i> by the ratio of palea length to lemma length (0.72–0.80 mm vs. 0.35−0.58 mm) (Fig. 1G, Fig. 2E). In <i>A. pendryi</i>, the dorsal surface of the lemma is hairy, except near the base (Paszko 2014), whereas in <i>A. griffithiana</i> and <i>A. barikii</i> the lemma is hairy, except at the apex (Fig. 1F–G, Fig. 2E).</p> <p> <b>Etymology</b>:—The specific epithet of the new species is given in honor of Professor S.K. Barik, in recognition of his remarkable contributions in the field of Taxonomy and Ecology of Angiosperms.</p> <p> <b>Additional specimens examined (paratypes)</b>:— INDIA. <b>Uttarakhand</b>, Chamoli, Ghanghria, Nanda Devi Biosphere Reserve, Valley of Flowers National Park, 30.729139°N, 79.596606°E, 3567 m, 23 August 2019, <i>P</i>. <i>Agnihotri</i>, <i>D</i>. <i>Prasad</i>, <i>R</i>. <i>Yadav</i>, <i>S</i>. <i>Jaiswal 326627</i> (LWG!); Rudraprayag, Kedarnath Wildlife Sanctuary, Gaurikund to Kedarnath trekking way, Gaurikund, 30.692313°N, 79.051968°E, 2711 m, 13 October 2019, <i>R</i>. <i>Yadav</i> & <i>D. Husain 328459</i> (LWG!); same locality, 13 October 2019, <i>R</i> <i>.</i> <i>Yadav</i> & <i>D. Husain 328460</i> (LWG!). <b>Himachal Pradesh</b>, Kullu, Manali, Rohtang pass, Marhi, 32.341507°N, 77.216715°E, 3260 m, 5 August 2019, <i>D</i>. <i>Prasad</i> & <i>R</i>. <i>Yadav 316297</i> (LWG!).</p>Published as part of <i>Prasad, Dileshwar, Yadav, Rekha, Jaiswal, Shubham, Tripathi, Shailja & Agnihotri, Priyanka, 2021, Agrostis barikii (Poaceae: Agrostidinae), a new grass species from Western Himalaya, India, pp. 145-150 in Phytotaxa 494 (1)</i> on pages 146-148, DOI: 10.11646/phytotaxa.494.1.11, <a href="http://zenodo.org/record/5757957">http://zenodo.org/record/5757957</a&gt

    Twisted Jacquet modules: a conjecture of D. Prasad

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    In this note, we study the twisted Jacquet modules of sub-quotients of principal series representations of GL2(D){\rm GL}_2(D) where DD is a division algebra over a non-archimedean local field FF. We begin with a proof of a conjecture due to D. Prasad on twisted Jacquet modules of Speh representations of GL2(D){\rm GL}_2(D) when DD is the quaternionic division algebra. Later, when DD is an arbitrary division algebra over FF, we focus on depth-zero principal series and compute the dimensions of twisted Jacquet modules of generalised Speh representations and investigate their structure explicitly.Small corrections and further explanations in the proof of Theorem 4.

    Measurement of high-mass dimuon production for p+p and p+d collisions with 120 GeV proton beam at Fermilab

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    SeaQuest is a fixed-target experiment at Fermilab using 120 GeV proton beam from the Main Injector. High-mass muon pairs from the interaction of proton beam with various liquid and solid targets were detected in a newly constructed spectrometer. The primary goal of the experiment is to study the sea quark contents in nucleons and nuclei. In particular, the Drell-Yan cross-section ratios for liquid deuterium over hydrogen will allow the measurement of sea quark asymmetry, dˉ/uˉ\bar{d}/\bar{u}, for Bjorken-{\it x} ranging from 0.1 to 0.45, extending the measurements of the previous experiment NuSea/E866. Improved statistics expected at SeaQuest for x>0.25{\it x}>0.25 will allow us to check the surprising behaviour of dˉ/uˉ\bar{d}/\bar{u} at large {\it x} observed in NuSea. Additionally, SeaQuest data also provides the opportunity to study other very interesting physics. One such physics is the absolute p+d and p+p Drell-Yan differential cross-section (M3d2σ/dMdxFM^3d^2\sigma/dMdx_F). The measurement of the Drell-Yan cross-section allows improved constraints on the magnitude and shape of sea and valence parton distribution functions (PDFs). In particular, the p+d measurement is sensitive to the dˉ(x)+uˉ(x)\bar{d}(x)+\bar{u}(x) distribution. This quantity is required for extracting dˉ(x)uˉ(x)\bar{d}(x)-\bar{u}(x) from dˉ(x)/uˉ(x)\bar{d}(x)/\bar{u}(x). The current global PDFs for light sea quarks are very poorly constrained beyond Bjorken-{\it x} >> 0.3. SeaQuest coverage in dimuon mass (Mμμ+M_{\mu^-\mu^+}) ranging from 4.2 GeV to 8.8 GeV (equivalently τ\sqrt{\tau} in range 0.3 to 0.9 ) and Feynman-{\it x} (xFx_F) ranging from 0 to 0.8 will extend the measurement from NuSea. Current results are presented in chapter 5. A comparison of E866 p+d and E772 p+d measurement is presented in chapter 8. The transverse momentum dependence of the Drell-Yan cross-sections has also been presented. Results on double differential cross sections (d2σ/dMdpTd^2\sigma/dMdp_T and d2σ/dxFdpTd^2\sigma/dx_Fdp_T) from p+d and p+p Drell-Yan data from SeaQuest are presented in chapter 7. The analysis of pTp_T distribution from SeaQuest data will provide the value of for the lowest value of $\sqrt{s}$ in the study of dependence of on s\sqrt{s}. Additionally, pTp_T data from existing Drell-Yan experiments have been analyzed and compiled systematically to study possible dependence such as on $x_F$ and $M_{\mu^{-}\mu^{+}}$ of dimuon. The only published result on the dependence of on xFx_F has been reported by pion induced Drell-Yan experiment, E615. This thesis presents the dependence of on xFx_F for proton-induced Drell-Yan data from E866 and E906.Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2021-03-04 without embargo termsThe student, Shivangi Prasad, accepted the attached license on 2020-11-17 at 11:51.The student, Shivangi Prasad, submitted this Dissertation for approval on 2020-11-17 at 13:02.This Dissertation was approved for publication on 2020-11-19 at 16:49.DSpace SAF Submission Ingestion Package generated from Vireo submission #15896 on 2021-03-04 at 15:34:36Made available in DSpace on 2021-03-05T21:36:58Z (GMT). No. of bitstreams: 2 PRASAD-DISSERTATION-2020.pdf: 3271611 bytes, checksum: 3e344f0442039a46baaf1c6f57a7b133 (MD5) LICENSE.txt: 4212 bytes, checksum: da67677e94d82014b2092db9f5e16bc3 (MD5) Previous issue date: 2020-11-1

    Topological central extensions of parahoric subgroups of SL(n,D).

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    Topological central extensions play a role in several areas of mathematics, e.g., in consideration of the congruence subgroup problem and of automorphic forms of fractional weight. The D in the title is a division algebra over a non-archimedean local field k. This thesis examines the topological central extensions of any parahoric sub-group P of SL\sb{n}(D), where SL\sb{n}(D) is the set of n x n matrices with entries in D and of reduced norm one. Topological central extensions of P are determined by the second continuous cohomology group H\sp2(P,\IR/\doubz). The main theorem of this thesis shows the p-primary component of H\sp2(P,\IR/\doubz) is a finite, cyclic p-group. Using the main theorem and Theorem 1.3 due to G. Prasad, I show the p-primary part of H\sp2(P,\IR/\doubz) is isomorphic to the p-primary component of H\sp2(SL\sb{n}(D),\IR/\doubz). I also compute the prime to p component of H\sp2(P,\IR/\doubz).PhDMathematicsPure SciencesUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/129777/2/9624638.pd

    Fundamental Study of 1-D Semiconductor and Nanoscale Electrode Architectures for Photo-Electrochemical Water Splitting

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    Photoelectrochemical (PEC) water splitting is a promising technology for the production of clean hydrogen, long identified as a potential energy carrier for the much awaited hydrogen economy. Clean hydrogen is indeed capable of meeting the global energy demand placing minimal stress on the environment compared to hitherto combustion based technologies. Generation of clean hydrogen however, represents major challenges. Identification and development of suitable semiconductor materials as photoanodes exhibiting narrow band gap and superior solar-to-hydrogen efficiency (STH) combined with the desired PEC stability would represent a major breakthrough in the arduous path towards identifying and economically manufacturing commercially viable PEC water splitting systems. In addition to the photoanode, engineering of novel non-noble based cathode electro-catalysts with superior electrochemical activity for hydrogen evolution reaction (HER) compared to expensive state of the art noble metal electro-catalyst (e.g. Pt) will significantly contribute towards further lowering the cost of PEC water splitting cells. Keeping in line with these goals, a co-doping strategy was adopted in this study for generating photoanodes with systematic band gap engineering. Accordingly, the co-doping strategy was implemented to modify the band gaps of ZnO and SnO2, which exhibit good electron mobility but possess wide band gaps yielding poor PEC activity. It was demonstrated that by synergistically co-doping Co and N into the ZnO lattice, and Nb and N co-doping into SnO2 crystalline structure resulted in significantly improved light absorption properties offering 4-5 orders of magnitude higher carrier density contributing to remarkably higher PEC activity with the highest applied bias photon-to-current efficiency (ABPE) (~4.1%) obtained for (Sn0.95Nb0.05)O2:N-600 nanotubes (NTs). The optoelectronic and PEC properties of (Sn0.95Nb0.05)O2:N-600 NTs are further improved by developing novel 1-D bilayer structures of WO3 and (Sn0.95Nb0.05)O2:N-600. The novel bilayer composite heterostructures offered improved light absorption, high carrier density and efficient separation of photogenerated carriers leading to long carrier lifetimes. As a result, superior PEC activity and STH (~3.83%) under zero applied bias was achieved, which is the highest STH obtained so far compared to other well-studied materials such as TiO2, ZnO, -Fe2O3, to the best of our knowledge. The composite bilayer structure also showed superior PEC stability in electrolyte solution under illumination. Furthermore, ultra-low noble metal containing non-noble metals based Co1-x(Irx) (x=0.3, 0.4) and completely noble metal free (Cu0.83Co0.17)3P:x at. %S (x=10, 20, 30) solid solution electro-catalyst systems have been studied as cathode electro-catalyst for HER. The synergistic interaction of Co and Ir as well as Cu, Co, P and S offered excellent electrochemical properties. Accordingly, Co1-x(Irx) (x=0.3, 0.4) displayed ~40% and ~93% improved electrocatalytic response compared to Pt/C. On the other hand, (Cu0.83Co0.17)3P:30 at. %S showed HER response similar to that of Pt/C. These results together indeed reflect the significant advances made in the pursuit of non-noble metal electro-catalyst for HER replacing Pt/C, the expensive albeit, the prevalent gold standard HER electrocatalyst. This thesis provides a detailed account of the fundamental study conducted into the synthesis, materials, characterization, photoelectrochemical and electrochemical response ably supported by first principles theoretical studies as required

    A Derivation of the Prasad-Sommerfield Solution

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    A certain form for the self-dual solutions of the Yang-Mills-Higgs system is tested. (When restricted to spherical symmetry this Ansatz is the most general form in the Wigner-Eckart sense.) It is found that the only consistent solutions of this form are spherically symmetric, and that the only finite energy solution then is the Prasad-Sommerfield solution

    VIBRONIC COUPLING THROUGH METHYL TORSIONS IN HEXAMETHYLBENZENE

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    1^{1}P. N. Prasad and R. Kopelman, Chem. Phys. Letters 21, 505 (1973). 2^{2}S. D. Woodruff, P. S. Prasad, and R. Kopelman, J. Chem. Phys. (1974). 3^{3}P. N. Prasad S. D. Woodruff, and R. Kopelman, Chem. Phys.1, 173 (1973).Author Institution: Department of Chemistry, The University of MichiganIt has been shown recently that crystal vibrations can be conveniently classified as internal, semi-internal1internal^{1} (or semi-external), or external. While the nature of the vibronic coupling with internal and external vibrations2vibrations^{2} has been explored extensively, the coupling with semi-internal vibrations has not received attention. We present such an investigation on hexamethy1benzene in which its coupling of the electronic states with the methyl torsional vibration has been studied. Results will be presented from fluorescence, absorption and phosphorescence studies of isotopic and chemically mixed hexamethy1benzene condensed phases at very low temperature, as well as from Raman spectra3spectra^{3} of neat and isotopic mixed crystals. The vibronic coupling through methyl torsions will be discussed with emphasis on the relative contributions from the static and dynamic interactions in the various condensed phases
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